Finding the Third Proportional to 75,849 and 109,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,849 : 109,255.50 = 109,255.50 : x
2. Step 2: Convert to fraction form
   75,849/109,255.50 = 109,255.50/x
3. Step 3: Cross multiply
   75,849x = 109,255.50 × 109,255.50
4. Step 4: Simplify right side
   75,849x = 11,936,764,280.25
5. Step 5: Solve for x
   x = 11,936,764,280.25/75,849
6. Step 6: Final answer
   x = 157,375.37