Finding the Third Proportional to 83,037 and 181,662

Step by Step Solution

1. Step 1: Write the proportion equation
   83,037 : 181,662 = 181,662 : x
2. Step 2: Convert to fraction form
   83,037/181,662 = 181,662/x
3. Step 3: Cross multiply
   83,037x = 181,662 × 181,662
4. Step 4: Simplify right side
   83,037x = 33,001,082,244
5. Step 5: Solve for x
   x = 33,001,082,244/83,037
6. Step 6: Final answer
   x = 397,426.23