Finding the Third Proportional to 76,540.50 and 115,103.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,540.50 : 115,103.25 = 115,103.25 : x
2. Step 2: Convert to fraction form
   76,540.50/115,103.25 = 115,103.25/x
3. Step 3: Cross multiply
   76,540.50x = 115,103.25 × 115,103.25
4. Step 4: Simplify right side
   76,540.50x = 13,248,758,160.56
5. Step 5: Solve for x
   x = 13,248,758,160.56/76,540.50
6. Step 6: Final answer
   x = 173,094.74