Finding the Third Proportional to 54,680 and 113,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,680 : 113,722.50 = 113,722.50 : x
2. Step 2: Convert to fraction form
   54,680/113,722.50 = 113,722.50/x
3. Step 3: Cross multiply
   54,680x = 113,722.50 × 113,722.50
4. Step 4: Simplify right side
   54,680x = 12,932,807,006.25
5. Step 5: Solve for x
   x = 12,932,807,006.25/54,680
6. Step 6: Final answer
   x = 236,518.05