Finding the Third Proportional to 169,002 and 359,522

Step by Step Solution

1. Step 1: Write the proportion equation
   169,002 : 359,522 = 359,522 : x
2. Step 2: Convert to fraction form
   169,002/359,522 = 359,522/x
3. Step 3: Cross multiply
   169,002x = 359,522 × 359,522
4. Step 4: Simplify right side
   169,002x = 129,256,068,484
5. Step 5: Solve for x
   x = 129,256,068,484/169,002
6. Step 6: Final answer
   x = 764,819.76