Finding the Third Proportional to 76,555 and 112,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,555 : 112,644.50 = 112,644.50 : x
2. Step 2: Convert to fraction form
   76,555/112,644.50 = 112,644.50/x
3. Step 3: Cross multiply
   76,555x = 112,644.50 × 112,644.50
4. Step 4: Simplify right side
   76,555x = 12,688,783,380.25
5. Step 5: Solve for x
   x = 12,688,783,380.25/76,555
6. Step 6: Final answer
   x = 165,747.28