Finding the Third Proportional to 78,926 and 173,404

Step by Step Solution

1. Step 1: Write the proportion equation
   78,926 : 173,404 = 173,404 : x
2. Step 2: Convert to fraction form
   78,926/173,404 = 173,404/x
3. Step 3: Cross multiply
   78,926x = 173,404 × 173,404
4. Step 4: Simplify right side
   78,926x = 30,068,947,216
5. Step 5: Solve for x
   x = 30,068,947,216/78,926
6. Step 6: Final answer
   x = 380,976.45