Finding the Third Proportional to 80,829 and 174,564

Step by Step Solution

1. Step 1: Write the proportion equation
   80,829 : 174,564 = 174,564 : x
2. Step 2: Convert to fraction form
   80,829/174,564 = 174,564/x
3. Step 3: Cross multiply
   80,829x = 174,564 × 174,564
4. Step 4: Simplify right side
   80,829x = 30,472,590,096
5. Step 5: Solve for x
   x = 30,472,590,096/80,829
6. Step 6: Final answer
   x = 377,000.71