Finding the Third Proportional to 147,522 and 320,022

Step by Step Solution

1. Step 1: Write the proportion equation
   147,522 : 320,022 = 320,022 : x
2. Step 2: Convert to fraction form
   147,522/320,022 = 320,022/x
3. Step 3: Cross multiply
   147,522x = 320,022 × 320,022
4. Step 4: Simplify right side
   147,522x = 102,414,080,484
5. Step 5: Solve for x
   x = 102,414,080,484/147,522
6. Step 6: Final answer
   x = 694,229.20