Finding the Third Proportional to 54,228 and 83,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,228 : 83,407.50 = 83,407.50 : x
2. Step 2: Convert to fraction form
   54,228/83,407.50 = 83,407.50/x
3. Step 3: Cross multiply
   54,228x = 83,407.50 × 83,407.50
4. Step 4: Simplify right side
   54,228x = 6,956,811,056.25
5. Step 5: Solve for x
   x = 6,956,811,056.25/54,228
6. Step 6: Final answer
   x = 128,288.17