Finding the Third Proportional to 147,802 and 316,604

Step by Step Solution

1. Step 1: Write the proportion equation
   147,802 : 316,604 = 316,604 : x
2. Step 2: Convert to fraction form
   147,802/316,604 = 316,604/x
3. Step 3: Cross multiply
   147,802x = 316,604 × 316,604
4. Step 4: Simplify right side
   147,802x = 100,238,092,816
5. Step 5: Solve for x
   x = 100,238,092,816/147,802
6. Step 6: Final answer
   x = 678,191.72