Finding the Third Proportional to 80,024 and 174,446

Step by Step Solution

1. Step 1: Write the proportion equation
   80,024 : 174,446 = 174,446 : x
2. Step 2: Convert to fraction form
   80,024/174,446 = 174,446/x
3. Step 3: Cross multiply
   80,024x = 174,446 × 174,446
4. Step 4: Simplify right side
   80,024x = 30,431,406,916
5. Step 5: Solve for x
   x = 30,431,406,916/80,024
6. Step 6: Final answer
   x = 380,278.50