Finding the Third Proportional to 54,146.25 and 83,678.63

Step by Step Solution

1. Step 1: Write the proportion equation
   54,146.25 : 83,678.63 = 83,678.63 : x
2. Step 2: Convert to fraction form
   54,146.25/83,678.63 = 83,678.63/x
3. Step 3: Cross multiply
   54,146.25x = 83,678.63 × 83,678.63
4. Step 4: Simplify right side
   54,146.25x = 7,002,112,281.89
5. Step 5: Solve for x
   x = 7,002,112,281.89/54,146.25
6. Step 6: Final answer
   x = 129,318.51