Finding the Third Proportional to 83,361 and 172,551

Step by Step Solution

1. Step 1: Write the proportion equation
   83,361 : 172,551 = 172,551 : x
2. Step 2: Convert to fraction form
   83,361/172,551 = 172,551/x
3. Step 3: Cross multiply
   83,361x = 172,551 × 172,551
4. Step 4: Simplify right side
   83,361x = 29,773,847,601
5. Step 5: Solve for x
   x = 29,773,847,601/83,361
6. Step 6: Final answer
   x = 357,167.59