Finding the Third Proportional to 80,825.34 and 175,640.91

Step by Step Solution

1. Step 1: Write the proportion equation
   80,825.34 : 175,640.91 = 175,640.91 : x
2. Step 2: Convert to fraction form
   80,825.34/175,640.91 = 175,640.91/x
3. Step 3: Cross multiply
   80,825.34x = 175,640.91 × 175,640.91
4. Step 4: Simplify right side
   80,825.34x = 30,849,727,948.32
5. Step 5: Solve for x
   x = 30,849,727,948.32/80,825.34
6. Step 6: Final answer
   x = 381,683.84