Finding the Third Proportional to 83,469 and 127,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,469 : 127,966.50 = 127,966.50 : x
2. Step 2: Convert to fraction form
   83,469/127,966.50 = 127,966.50/x
3. Step 3: Cross multiply
   83,469x = 127,966.50 × 127,966.50
4. Step 4: Simplify right side
   83,469x = 16,375,425,122.25
5. Step 5: Solve for x
   x = 16,375,425,122.25/83,469
6. Step 6: Final answer
   x = 196,185.71