Finding the Third Proportional to 147,564 and 318,456

Step by Step Solution

1. Step 1: Write the proportion equation
   147,564 : 318,456 = 318,456 : x
2. Step 2: Convert to fraction form
   147,564/318,456 = 318,456/x
3. Step 3: Cross multiply
   147,564x = 318,456 × 318,456
4. Step 4: Simplify right side
   147,564x = 101,414,223,936
5. Step 5: Solve for x
   x = 101,414,223,936/147,564
6. Step 6: Final answer
   x = 687,255.86