Finding the Third Proportional to 105,294.38 and 171,915.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,294.38 : 171,915.75 = 171,915.75 : x
2. Step 2: Convert to fraction form
   105,294.38/171,915.75 = 171,915.75/x
3. Step 3: Cross multiply
   105,294.38x = 171,915.75 × 171,915.75
4. Step 4: Simplify right side
   105,294.38x = 29,555,025,098.06
5. Step 5: Solve for x
   x = 29,555,025,098.06/105,294.38
6. Step 6: Final answer
   x = 280,689.50