Finding the Third Proportional to 76,413 and 103,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,413 : 103,198.50 = 103,198.50 : x
2. Step 2: Convert to fraction form
   76,413/103,198.50 = 103,198.50/x
3. Step 3: Cross multiply
   76,413x = 103,198.50 × 103,198.50
4. Step 4: Simplify right side
   76,413x = 10,649,930,402.25
5. Step 5: Solve for x
   x = 10,649,930,402.25/76,413
6. Step 6: Final answer
   x = 139,373.28