Finding the Third Proportional to 41,334 and 89,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,334 : 89,542.50 = 89,542.50 : x
2. Step 2: Convert to fraction form
   41,334/89,542.50 = 89,542.50/x
3. Step 3: Cross multiply
   41,334x = 89,542.50 × 89,542.50
4. Step 4: Simplify right side
   41,334x = 8,017,859,306.25
5. Step 5: Solve for x
   x = 8,017,859,306.25/41,334
6. Step 6: Final answer
   x = 193,977.34