Finding the Third Proportional to 80,432 and 174,688

Step by Step Solution

1. Step 1: Write the proportion equation
   80,432 : 174,688 = 174,688 : x
2. Step 2: Convert to fraction form
   80,432/174,688 = 174,688/x
3. Step 3: Cross multiply
   80,432x = 174,688 × 174,688
4. Step 4: Simplify right side
   80,432x = 30,515,897,344
5. Step 5: Solve for x
   x = 30,515,897,344/80,432
6. Step 6: Final answer
   x = 379,399.96