Finding the Third Proportional to 200,575.50 and 413,862

Step by Step Solution

1. Step 1: Write the proportion equation
   200,575.50 : 413,862 = 413,862 : x
2. Step 2: Convert to fraction form
   200,575.50/413,862 = 413,862/x
3. Step 3: Cross multiply
   200,575.50x = 413,862 × 413,862
4. Step 4: Simplify right side
   200,575.50x = 171,281,755,044
5. Step 5: Solve for x
   x = 171,281,755,044/200,575.50
6. Step 6: Final answer
   x = 853,951.53