Finding the Third Proportional to 432,016,105.50 and 686,287,910.25

Step by Step Solution

1. Step 1: Write the proportion equation
   432,016,105.50 : 686,287,910.25 = 686,287,910.25 : x
2. Step 2: Convert to fraction form
   432,016,105.50/686,287,910.25 = 686,287,910.25/x
3. Step 3: Cross multiply
   432,016,105.50x = 686,287,910.25 × 686,287,910.25
4. Step 4: Simplify right side
   432,016,105.50x = 470,991,095,755,312,064
5. Step 5: Solve for x
   x = 470,991,095,755,312,064/432,016,105.50
6. Step 6: Final answer
   x = 1,090,216,521.47