Finding the Third Proportional to 54,194.06 and 83,404.69

Step by Step Solution

1. Step 1: Write the proportion equation
   54,194.06 : 83,404.69 = 83,404.69 : x
2. Step 2: Convert to fraction form
   54,194.06/83,404.69 = 83,404.69/x
3. Step 3: Cross multiply
   54,194.06x = 83,404.69 × 83,404.69
4. Step 4: Simplify right side
   54,194.06x = 6,956,341,896.97
5. Step 5: Solve for x
   x = 6,956,341,896.97/54,194.06
6. Step 6: Final answer
   x = 128,359.85