Finding the Third Proportional to 80,552 and 174,944

Step by Step Solution

1. Step 1: Write the proportion equation
   80,552 : 174,944 = 174,944 : x
2. Step 2: Convert to fraction form
   80,552/174,944 = 174,944/x
3. Step 3: Cross multiply
   80,552x = 174,944 × 174,944
4. Step 4: Simplify right side
   80,552x = 30,605,403,136
5. Step 5: Solve for x
   x = 30,605,403,136/80,552
6. Step 6: Final answer
   x = 379,945.91