Finding the Third Proportional to 83,154 and 128,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,154 : 128,011.50 = 128,011.50 : x
2. Step 2: Convert to fraction form
   83,154/128,011.50 = 128,011.50/x
3. Step 3: Cross multiply
   83,154x = 128,011.50 × 128,011.50
4. Step 4: Simplify right side
   83,154x = 16,386,944,132.25
5. Step 5: Solve for x
   x = 16,386,944,132.25/83,154
6. Step 6: Final answer
   x = 197,067.42