Finding the Third Proportional to 80,286 and 174,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,286 : 174,874.50 = 174,874.50 : x
2. Step 2: Convert to fraction form
   80,286/174,874.50 = 174,874.50/x
3. Step 3: Cross multiply
   80,286x = 174,874.50 × 174,874.50
4. Step 4: Simplify right side
   80,286x = 30,581,090,750.25
5. Step 5: Solve for x
   x = 30,581,090,750.25/80,286
6. Step 6: Final answer
   x = 380,901.91