Finding the Third Proportional to 80,491 and 174,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,491 : 174,821.50 = 174,821.50 : x
2. Step 2: Convert to fraction form
   80,491/174,821.50 = 174,821.50/x
3. Step 3: Cross multiply
   80,491x = 174,821.50 × 174,821.50
4. Step 4: Simplify right side
   80,491x = 30,562,556,862.25
5. Step 5: Solve for x
   x = 30,562,556,862.25/80,491
6. Step 6: Final answer
   x = 379,701.54