Finding the Third Proportional to 138,654 and 198,130.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,654 : 198,130.50 = 198,130.50 : x
2. Step 2: Convert to fraction form
   138,654/198,130.50 = 198,130.50/x
3. Step 3: Cross multiply
   138,654x = 198,130.50 × 198,130.50
4. Step 4: Simplify right side
   138,654x = 39,255,695,030.25
5. Step 5: Solve for x
   x = 39,255,695,030.25/138,654
6. Step 6: Final answer
   x = 283,119.82