Finding the Third Proportional to 80,224 and 171,184

Step by Step Solution

1. Step 1: Write the proportion equation
   80,224 : 171,184 = 171,184 : x
2. Step 2: Convert to fraction form
   80,224/171,184 = 171,184/x
3. Step 3: Cross multiply
   80,224x = 171,184 × 171,184
4. Step 4: Simplify right side
   80,224x = 29,303,961,856
5. Step 5: Solve for x
   x = 29,303,961,856/80,224
6. Step 6: Final answer
   x = 365,276.75