Finding the Third Proportional to 54,204.19 and 83,419.88

Step by Step Solution

1. Step 1: Write the proportion equation
   54,204.19 : 83,419.88 = 83,419.88 : x
2. Step 2: Convert to fraction form
   54,204.19/83,419.88 = 83,419.88/x
3. Step 3: Cross multiply
   54,204.19x = 83,419.88 × 83,419.88
4. Step 4: Simplify right side
   54,204.19x = 6,958,875,545.02
5. Step 5: Solve for x
   x = 6,958,875,545.02/54,204.19
6. Step 6: Final answer
   x = 128,382.62