Finding the Third Proportional to 83,948 and 182,665

Step by Step Solution

1. Step 1: Write the proportion equation
   83,948 : 182,665 = 182,665 : x
2. Step 2: Convert to fraction form
   83,948/182,665 = 182,665/x
3. Step 3: Cross multiply
   83,948x = 182,665 × 182,665
4. Step 4: Simplify right side
   83,948x = 33,366,502,225
5. Step 5: Solve for x
   x = 33,366,502,225/83,948
6. Step 6: Final answer
   x = 397,466.32