Finding the Third Proportional to 116,736 and 173,403

Step by Step Solution

1. Step 1: Write the proportion equation
   116,736 : 173,403 = 173,403 : x
2. Step 2: Convert to fraction form
   116,736/173,403 = 173,403/x
3. Step 3: Cross multiply
   116,736x = 173,403 × 173,403
4. Step 4: Simplify right side
   116,736x = 30,068,600,409
5. Step 5: Solve for x
   x = 30,068,600,409/116,736
6. Step 6: Final answer
   x = 257,577.79