Finding the Third Proportional to 165,592 and 359,996

Step by Step Solution

1. Step 1: Write the proportion equation
   165,592 : 359,996 = 359,996 : x
2. Step 2: Convert to fraction form
   165,592/359,996 = 359,996/x
3. Step 3: Cross multiply
   165,592x = 359,996 × 359,996
4. Step 4: Simplify right side
   165,592x = 129,597,120,016
5. Step 5: Solve for x
   x = 129,597,120,016/165,592
6. Step 6: Final answer
   x = 782,629.11