Finding the Third Proportional to 41,174.50 and 89,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,174.50 : 89,878.50 = 89,878.50 : x
2. Step 2: Convert to fraction form
   41,174.50/89,878.50 = 89,878.50/x
3. Step 3: Cross multiply
   41,174.50x = 89,878.50 × 89,878.50
4. Step 4: Simplify right side
   41,174.50x = 8,078,144,762.25
5. Step 5: Solve for x
   x = 8,078,144,762.25/41,174.50
6. Step 6: Final answer
   x = 196,192.90