Finding the Third Proportional to 138,477 and 198,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,477 : 198,025.50 = 198,025.50 : x
2. Step 2: Convert to fraction form
   138,477/198,025.50 = 198,025.50/x
3. Step 3: Cross multiply
   138,477x = 198,025.50 × 198,025.50
4. Step 4: Simplify right side
   138,477x = 39,214,098,650.25
5. Step 5: Solve for x
   x = 39,214,098,650.25/138,477
6. Step 6: Final answer
   x = 283,181.31