Finding the Third Proportional to 54,774 and 82,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,774 : 82,039.50 = 82,039.50 : x
2. Step 2: Convert to fraction form
   54,774/82,039.50 = 82,039.50/x
3. Step 3: Cross multiply
   54,774x = 82,039.50 × 82,039.50
4. Step 4: Simplify right side
   54,774x = 6,730,479,560.25
5. Step 5: Solve for x
   x = 6,730,479,560.25/54,774
6. Step 6: Final answer
   x = 122,877.27