Finding the Third Proportional to 76,134 and 111,712.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,134 : 111,712.50 = 111,712.50 : x
2. Step 2: Convert to fraction form
   76,134/111,712.50 = 111,712.50/x
3. Step 3: Cross multiply
   76,134x = 111,712.50 × 111,712.50
4. Step 4: Simplify right side
   76,134x = 12,479,682,656.25
5. Step 5: Solve for x
   x = 12,479,682,656.25/76,134
6. Step 6: Final answer
   x = 163,917.34