Finding the Third Proportional to 54,870 and 82,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,870 : 82,277.50 = 82,277.50 : x
2. Step 2: Convert to fraction form
   54,870/82,277.50 = 82,277.50/x
3. Step 3: Cross multiply
   54,870x = 82,277.50 × 82,277.50
4. Step 4: Simplify right side
   54,870x = 6,769,587,006.25
5. Step 5: Solve for x
   x = 6,769,587,006.25/54,870
6. Step 6: Final answer
   x = 123,375.01