Finding the Third Proportional to 83,401 and 122,895

Step by Step Solution

1. Step 1: Write the proportion equation
   83,401 : 122,895 = 122,895 : x
2. Step 2: Convert to fraction form
   83,401/122,895 = 122,895/x
3. Step 3: Cross multiply
   83,401x = 122,895 × 122,895
4. Step 4: Simplify right side
   83,401x = 15,103,181,025
5. Step 5: Solve for x
   x = 15,103,181,025/83,401
6. Step 6: Final answer
   x = 181,091.13