Finding the Third Proportional to 54,951 and 82,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,951 : 82,411.50 = 82,411.50 : x
2. Step 2: Convert to fraction form
   54,951/82,411.50 = 82,411.50/x
3. Step 3: Cross multiply
   54,951x = 82,411.50 × 82,411.50
4. Step 4: Simplify right side
   54,951x = 6,791,655,332.25
5. Step 5: Solve for x
   x = 6,791,655,332.25/54,951
6. Step 6: Final answer
   x = 123,594.75