Finding the Third Proportional to 83,672 and 181,022

Step by Step Solution

1. Step 1: Write the proportion equation
   83,672 : 181,022 = 181,022 : x
2. Step 2: Convert to fraction form
   83,672/181,022 = 181,022/x
3. Step 3: Cross multiply
   83,672x = 181,022 × 181,022
4. Step 4: Simplify right side
   83,672x = 32,768,964,484
5. Step 5: Solve for x
   x = 32,768,964,484/83,672
6. Step 6: Final answer
   x = 391,635.97