Finding the Third Proportional to 78,932 and 173,416

Step by Step Solution

1. Step 1: Write the proportion equation
   78,932 : 173,416 = 173,416 : x
2. Step 2: Convert to fraction form
   78,932/173,416 = 173,416/x
3. Step 3: Cross multiply
   78,932x = 173,416 × 173,416
4. Step 4: Simplify right side
   78,932x = 30,073,109,056
5. Step 5: Solve for x
   x = 30,073,109,056/78,932
6. Step 6: Final answer
   x = 381,000.22