Finding the Third Proportional to 40,926 and 89,463

Step by Step Solution

1. Step 1: Write the proportion equation
   40,926 : 89,463 = 89,463 : x
2. Step 2: Convert to fraction form
   40,926/89,463 = 89,463/x
3. Step 3: Cross multiply
   40,926x = 89,463 × 89,463
4. Step 4: Simplify right side
   40,926x = 8,003,628,369
5. Step 5: Solve for x
   x = 8,003,628,369/40,926
6. Step 6: Final answer
   x = 195,563.42