Finding the Third Proportional to 76,986 and 115,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,986 : 115,168.50 = 115,168.50 : x
2. Step 2: Convert to fraction form
   76,986/115,168.50 = 115,168.50/x
3. Step 3: Cross multiply
   76,986x = 115,168.50 × 115,168.50
4. Step 4: Simplify right side
   76,986x = 13,263,783,392.25
5. Step 5: Solve for x
   x = 13,263,783,392.25/76,986
6. Step 6: Final answer
   x = 172,288.25