Finding the Third Proportional to 76,186.50 and 115,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,186.50 : 115,978.50 = 115,978.50 : x
2. Step 2: Convert to fraction form
   76,186.50/115,978.50 = 115,978.50/x
3. Step 3: Cross multiply
   76,186.50x = 115,978.50 × 115,978.50
4. Step 4: Simplify right side
   76,186.50x = 13,451,012,462.25
5. Step 5: Solve for x
   x = 13,451,012,462.25/76,186.50
6. Step 6: Final answer
   x = 176,553.75