Finding the Third Proportional to 138,025.50 and 297,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,025.50 : 297,799.50 = 297,799.50 : x
2. Step 2: Convert to fraction form
   138,025.50/297,799.50 = 297,799.50/x
3. Step 3: Cross multiply
   138,025.50x = 297,799.50 × 297,799.50
4. Step 4: Simplify right side
   138,025.50x = 88,684,542,200.25
5. Step 5: Solve for x
   x = 88,684,542,200.25/138,025.50
6. Step 6: Final answer
   x = 642,522.88