Finding the Third Proportional to 80,230 and 175,688

Step by Step Solution

1. Step 1: Write the proportion equation
   80,230 : 175,688 = 175,688 : x
2. Step 2: Convert to fraction form
   80,230/175,688 = 175,688/x
3. Step 3: Cross multiply
   80,230x = 175,688 × 175,688
4. Step 4: Simplify right side
   80,230x = 30,866,273,344
5. Step 5: Solve for x
   x = 30,866,273,344/80,230
6. Step 6: Final answer
   x = 384,722.34