Finding the Third Proportional to 165,564 and 359,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,564 : 359,935.50 = 359,935.50 : x
2. Step 2: Convert to fraction form
   165,564/359,935.50 = 359,935.50/x
3. Step 3: Cross multiply
   165,564x = 359,935.50 × 359,935.50
4. Step 4: Simplify right side
   165,564x = 129,553,564,160.25
5. Step 5: Solve for x
   x = 129,553,564,160.25/165,564
6. Step 6: Final answer
   x = 782,498.39