Finding the Third Proportional to 80,413 and 174,951

Step by Step Solution

1. Step 1: Write the proportion equation
   80,413 : 174,951 = 174,951 : x
2. Step 2: Convert to fraction form
   80,413/174,951 = 174,951/x
3. Step 3: Cross multiply
   80,413x = 174,951 × 174,951
4. Step 4: Simplify right side
   80,413x = 30,607,852,401
5. Step 5: Solve for x
   x = 30,607,852,401/80,413
6. Step 6: Final answer
   x = 380,633.14