Finding the Third Proportional to 54,145.13 and 83,678.06

Step by Step Solution

1. Step 1: Write the proportion equation
   54,145.13 : 83,678.06 = 83,678.06 : x
2. Step 2: Convert to fraction form
   54,145.13/83,678.06 = 83,678.06/x
3. Step 3: Cross multiply
   54,145.13x = 83,678.06 × 83,678.06
4. Step 4: Simplify right side
   54,145.13x = 7,002,018,143.75
5. Step 5: Solve for x
   x = 7,002,018,143.75/54,145.13
6. Step 6: Final answer
   x = 129,319.46