Finding the Third Proportional to 54,606 and 82,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,606 : 82,294.50 = 82,294.50 : x
2. Step 2: Convert to fraction form
   54,606/82,294.50 = 82,294.50/x
3. Step 3: Cross multiply
   54,606x = 82,294.50 × 82,294.50
4. Step 4: Simplify right side
   54,606x = 6,772,384,730.25
5. Step 5: Solve for x
   x = 6,772,384,730.25/54,606
6. Step 6: Final answer
   x = 124,022.72