Finding the Third Proportional to 165,561 and 359,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,561 : 359,929.50 = 359,929.50 : x
2. Step 2: Convert to fraction form
   165,561/359,929.50 = 359,929.50/x
3. Step 3: Cross multiply
   165,561x = 359,929.50 × 359,929.50
4. Step 4: Simplify right side
   165,561x = 129,549,244,970.25
5. Step 5: Solve for x
   x = 129,549,244,970.25/165,561
6. Step 6: Final answer
   x = 782,486.49