Finding the Third Proportional to 40,902 and 89,413

Step by Step Solution

1. Step 1: Write the proportion equation
   40,902 : 89,413 = 89,413 : x
2. Step 2: Convert to fraction form
   40,902/89,413 = 89,413/x
3. Step 3: Cross multiply
   40,902x = 89,413 × 89,413
4. Step 4: Simplify right side
   40,902x = 7,994,684,569
5. Step 5: Solve for x
   x = 7,994,684,569/40,902
6. Step 6: Final answer
   x = 195,459.50