Finding the Third Proportional to 138,457.50 and 198,000

Step by Step Solution

1. Step 1: Write the proportion equation
   138,457.50 : 198,000 = 198,000 : x
2. Step 2: Convert to fraction form
   138,457.50/198,000 = 198,000/x
3. Step 3: Cross multiply
   138,457.50x = 198,000 × 198,000
4. Step 4: Simplify right side
   138,457.50x = 39,204,000,000
5. Step 5: Solve for x
   x = 39,204,000,000/138,457.50
6. Step 6: Final answer
   x = 283,148.26