Finding the Third Proportional to 165,616 and 359,240

Step by Step Solution

1. Step 1: Write the proportion equation
   165,616 : 359,240 = 359,240 : x
2. Step 2: Convert to fraction form
   165,616/359,240 = 359,240/x
3. Step 3: Cross multiply
   165,616x = 359,240 × 359,240
4. Step 4: Simplify right side
   165,616x = 129,053,377,600
5. Step 5: Solve for x
   x = 129,053,377,600/165,616
6. Step 6: Final answer
   x = 779,232.55