Finding the Third Proportional to 83,161.50 and 128,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,161.50 : 128,023.50 = 128,023.50 : x
2. Step 2: Convert to fraction form
   83,161.50/128,023.50 = 128,023.50/x
3. Step 3: Cross multiply
   83,161.50x = 128,023.50 × 128,023.50
4. Step 4: Simplify right side
   83,161.50x = 16,390,016,552.25
5. Step 5: Solve for x
   x = 16,390,016,552.25/83,161.50
6. Step 6: Final answer
   x = 197,086.59