Finding the Third Proportional to 54,139.50 and 83,322.56

Step by Step Solution

1. Step 1: Write the proportion equation
   54,139.50 : 83,322.56 = 83,322.56 : x
2. Step 2: Convert to fraction form
   54,139.50/83,322.56 = 83,322.56/x
3. Step 3: Cross multiply
   54,139.50x = 83,322.56 × 83,322.56
4. Step 4: Simplify right side
   54,139.50x = 6,942,649,421.57
5. Step 5: Solve for x
   x = 6,942,649,421.57/54,139.50
6. Step 6: Final answer
   x = 128,236.30