Finding the Third Proportional to 54,774 and 86,658.38

Step by Step Solution

1. Step 1: Write the proportion equation
   54,774 : 86,658.38 = 86,658.38 : x
2. Step 2: Convert to fraction form
   54,774/86,658.38 = 86,658.38/x
3. Step 3: Cross multiply
   54,774x = 86,658.38 × 86,658.38
4. Step 4: Simplify right side
   54,774x = 7,509,673,957.64
5. Step 5: Solve for x
   x = 7,509,673,957.64/54,774
6. Step 6: Final answer
   x = 137,102.89