Finding the Third Proportional to 80,491 and 174,810

Step by Step Solution

1. Step 1: Write the proportion equation
   80,491 : 174,810 = 174,810 : x
2. Step 2: Convert to fraction form
   80,491/174,810 = 174,810/x
3. Step 3: Cross multiply
   80,491x = 174,810 × 174,810
4. Step 4: Simplify right side
   80,491x = 30,558,536,100
5. Step 5: Solve for x
   x = 30,558,536,100/80,491
6. Step 6: Final answer
   x = 379,651.59