Finding the Third Proportional to 209,699,545,540 and 462,142,536,632

Step by Step Solution

1. Step 1: Write the proportion equation
   209,699,545,540 : 462,142,536,632 = 462,142,536,632 : x
2. Step 2: Convert to fraction form
   209,699,545,540/462,142,536,632 = 462,142,536,632/x
3. Step 3: Cross multiply
   209,699,545,540x = 462,142,536,632 × 462,142,536,632
4. Step 4: Simplify right side
   209,699,545,540x = 213,575,724,164,659,447,595,008
5. Step 5: Solve for x
   x = 213,575,724,164,659,447,595,008/209,699,545,540
6. Step 6: Final answer
   x = 1,018,484,439,795.41