Finding the Third Proportional to 76,591 and 112,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,591 : 112,216.50 = 112,216.50 : x
2. Step 2: Convert to fraction form
   76,591/112,216.50 = 112,216.50/x
3. Step 3: Cross multiply
   76,591x = 112,216.50 × 112,216.50
4. Step 4: Simplify right side
   76,591x = 12,592,542,872.25
5. Step 5: Solve for x
   x = 12,592,542,872.25/76,591
6. Step 6: Final answer
   x = 164,412.83