Finding the Third Proportional to 138,064.50 and 297,875.25

Step by Step Solution

1. Step 1: Write the proportion equation
   138,064.50 : 297,875.25 = 297,875.25 : x
2. Step 2: Convert to fraction form
   138,064.50/297,875.25 = 297,875.25/x
3. Step 3: Cross multiply
   138,064.50x = 297,875.25 × 297,875.25
4. Step 4: Simplify right side
   138,064.50x = 88,729,664,562.56
5. Step 5: Solve for x
   x = 88,729,664,562.56/138,064.50
6. Step 6: Final answer
   x = 642,668.21