Finding the Third Proportional to 41,686.50 and 98,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,686.50 : 98,344.50 = 98,344.50 : x
2. Step 2: Convert to fraction form
   41,686.50/98,344.50 = 98,344.50/x
3. Step 3: Cross multiply
   41,686.50x = 98,344.50 × 98,344.50
4. Step 4: Simplify right side
   41,686.50x = 9,671,640,680.25
5. Step 5: Solve for x
   x = 9,671,640,680.25/41,686.50
6. Step 6: Final answer
   x = 232,008.94