Finding the Third Proportional to 83,185.50 and 127,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,185.50 : 127,864.50 = 127,864.50 : x
2. Step 2: Convert to fraction form
   83,185.50/127,864.50 = 127,864.50/x
3. Step 3: Cross multiply
   83,185.50x = 127,864.50 × 127,864.50
4. Step 4: Simplify right side
   83,185.50x = 16,349,330,360.25
5. Step 5: Solve for x
   x = 16,349,330,360.25/83,185.50
6. Step 6: Final answer
   x = 196,540.63