Finding the Third Proportional to 83,417 and 181,522

Step by Step Solution

1. Step 1: Write the proportion equation
   83,417 : 181,522 = 181,522 : x
2. Step 2: Convert to fraction form
   83,417/181,522 = 181,522/x
3. Step 3: Cross multiply
   83,417x = 181,522 × 181,522
4. Step 4: Simplify right side
   83,417x = 32,950,236,484
5. Step 5: Solve for x
   x = 32,950,236,484/83,417
6. Step 6: Final answer
   x = 395,006.25