Finding the Third Proportional to 78,889 and 173,078

Step by Step Solution

1. Step 1: Write the proportion equation
   78,889 : 173,078 = 173,078 : x
2. Step 2: Convert to fraction form
   78,889/173,078 = 173,078/x
3. Step 3: Cross multiply
   78,889x = 173,078 × 173,078
4. Step 4: Simplify right side
   78,889x = 29,955,994,084
5. Step 5: Solve for x
   x = 29,955,994,084/78,889
6. Step 6: Final answer
   x = 379,723.33