Finding the Third Proportional to 24,900 and 54,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,900 : 54,178.50 = 54,178.50 : x
2. Step 2: Convert to fraction form
   24,900/54,178.50 = 54,178.50/x
3. Step 3: Cross multiply
   24,900x = 54,178.50 × 54,178.50
4. Step 4: Simplify right side
   24,900x = 2,935,309,862.25
5. Step 5: Solve for x
   x = 2,935,309,862.25/24,900
6. Step 6: Final answer
   x = 117,883.93