To answer the question, I followed these steps:

<ul>
  <li><b>Identified the relevant countries</b> in Eastern Asia, including China and Macao Special Administrative Region, by checking the list of countries in that region.</li>
  <li><b>Found the correct indicator</b> for total fertility rate and obtained the necessary codes for each country and the indicator.</li>
  <li><b>Retrieved the total fertility rate values</b> for China, Macao, and the other Eastern Asian countries for the year 2005.</li>
  <li><b>Calculated the combined total fertility rate</b> for China and Macao, and then summed the total fertility rates for all Eastern Asian countries in 2005.</li>
  <li><b>Divided the combined value for China and Macao by the regional total</b> to find the proportion contributed by these two areas.</li>
</ul>

In summary, I gathered the fertility rate data for each country in Eastern Asia for 2005, summed the relevant values, and calculated the proportion for China and Macao.

<b>Final answer:</b> The proportion of the total fertility rate in Eastern Asia contributed by China and Macao Special Administrative Region in 2005 was approximately <b>33.7%</b>.