Finding the Third Proportional to 41,881 and 98,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,881 : 98,789.50 = 98,789.50 : x
2. Step 2: Convert to fraction form
   41,881/98,789.50 = 98,789.50/x
3. Step 3: Cross multiply
   41,881x = 98,789.50 × 98,789.50
4. Step 4: Simplify right side
   41,881x = 9,759,365,310.25
5. Step 5: Solve for x
   x = 9,759,365,310.25/41,881
6. Step 6: Final answer
   x = 233,026.08