Finding the Third Proportional to 41,810 and 89,292

Step by Step Solution

1. Step 1: Write the proportion equation
   41,810 : 89,292 = 89,292 : x
2. Step 2: Convert to fraction form
   41,810/89,292 = 89,292/x
3. Step 3: Cross multiply
   41,810x = 89,292 × 89,292
4. Step 4: Simplify right side
   41,810x = 7,973,061,264
5. Step 5: Solve for x
   x = 7,973,061,264/41,810
6. Step 6: Final answer
   x = 190,697.47