Finding the Third Proportional to 147,380.25 and 315,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,380.25 : 315,772.50 = 315,772.50 : x
2. Step 2: Convert to fraction form
   147,380.25/315,772.50 = 315,772.50/x
3. Step 3: Cross multiply
   147,380.25x = 315,772.50 × 315,772.50
4. Step 4: Simplify right side
   147,380.25x = 99,712,271,756.25
5. Step 5: Solve for x
   x = 99,712,271,756.25/147,380.25
6. Step 6: Final answer
   x = 676,564.68