Finding the Third Proportional to 165,616 and 357,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,616 : 357,688.50 = 357,688.50 : x
2. Step 2: Convert to fraction form
   165,616/357,688.50 = 357,688.50/x
3. Step 3: Cross multiply
   165,616x = 357,688.50 × 357,688.50
4. Step 4: Simplify right side
   165,616x = 127,941,063,032.25
5. Step 5: Solve for x
   x = 127,941,063,032.25/165,616
6. Step 6: Final answer
   x = 772,516.32