Finding the Third Proportional to 80,557 and 174,389

Step by Step Solution

1. Step 1: Write the proportion equation
   80,557 : 174,389 = 174,389 : x
2. Step 2: Convert to fraction form
   80,557/174,389 = 174,389/x
3. Step 3: Cross multiply
   80,557x = 174,389 × 174,389
4. Step 4: Simplify right side
   80,557x = 30,411,523,321
5. Step 5: Solve for x
   x = 30,411,523,321/80,557
6. Step 6: Final answer
   x = 377,515.59