Finding the Third Proportional to 138,662 and 198,150

Step by Step Solution

1. Step 1: Write the proportion equation
   138,662 : 198,150 = 198,150 : x
2. Step 2: Convert to fraction form
   138,662/198,150 = 198,150/x
3. Step 3: Cross multiply
   138,662x = 198,150 × 198,150
4. Step 4: Simplify right side
   138,662x = 39,263,422,500
5. Step 5: Solve for x
   x = 39,263,422,500/138,662
6. Step 6: Final answer
   x = 283,159.21