Finding the Third Proportional to 78,078 and 173,622

Step by Step Solution

1. Step 1: Write the proportion equation
   78,078 : 173,622 = 173,622 : x
2. Step 2: Convert to fraction form
   78,078/173,622 = 173,622/x
3. Step 3: Cross multiply
   78,078x = 173,622 × 173,622
4. Step 4: Simplify right side
   78,078x = 30,144,598,884
5. Step 5: Solve for x
   x = 30,144,598,884/78,078
6. Step 6: Final answer
   x = 386,083.13