Finding the Third Proportional to 76,026.50 and 114,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,026.50 : 114,040.50 = 114,040.50 : x
2. Step 2: Convert to fraction form
   76,026.50/114,040.50 = 114,040.50/x
3. Step 3: Cross multiply
   76,026.50x = 114,040.50 × 114,040.50
4. Step 4: Simplify right side
   76,026.50x = 13,005,235,640.25
5. Step 5: Solve for x
   x = 13,005,235,640.25/76,026.50
6. Step 6: Final answer
   x = 171,061.88