Finding the Third Proportional to 98,399 and 138,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,399 : 138,076.50 = 138,076.50 : x
2. Step 2: Convert to fraction form
   98,399/138,076.50 = 138,076.50/x
3. Step 3: Cross multiply
   98,399x = 138,076.50 × 138,076.50
4. Step 4: Simplify right side
   98,399x = 19,065,119,852.25
5. Step 5: Solve for x
   x = 19,065,119,852.25/98,399
6. Step 6: Final answer
   x = 193,753.19