Finding the Third Proportional to 147,766 and 315,188

Step by Step Solution

1. Step 1: Write the proportion equation
   147,766 : 315,188 = 315,188 : x
2. Step 2: Convert to fraction form
   147,766/315,188 = 315,188/x
3. Step 3: Cross multiply
   147,766x = 315,188 × 315,188
4. Step 4: Simplify right side
   147,766x = 99,343,475,344
5. Step 5: Solve for x
   x = 99,343,475,344/147,766
6. Step 6: Final answer
   x = 672,302.66