Finding the Third Proportional to 147,762 and 316,530

Step by Step Solution

1. Step 1: Write the proportion equation
   147,762 : 316,530 = 316,530 : x
2. Step 2: Convert to fraction form
   147,762/316,530 = 316,530/x
3. Step 3: Cross multiply
   147,762x = 316,530 × 316,530
4. Step 4: Simplify right side
   147,762x = 100,191,240,900
5. Step 5: Solve for x
   x = 100,191,240,900/147,762
6. Step 6: Final answer
   x = 678,058.23