Finding the Third Proportional to 80,022 and 174,156

Step by Step Solution

1. Step 1: Write the proportion equation
   80,022 : 174,156 = 174,156 : x
2. Step 2: Convert to fraction form
   80,022/174,156 = 174,156/x
3. Step 3: Cross multiply
   80,022x = 174,156 × 174,156
4. Step 4: Simplify right side
   80,022x = 30,330,312,336
5. Step 5: Solve for x
   x = 30,330,312,336/80,022
6. Step 6: Final answer
   x = 379,024.67