Finding the Third Proportional to 73,710 and 173,256

Step by Step Solution

1. Step 1: Write the proportion equation
   73,710 : 173,256 = 173,256 : x
2. Step 2: Convert to fraction form
   73,710/173,256 = 173,256/x
3. Step 3: Cross multiply
   73,710x = 173,256 × 173,256
4. Step 4: Simplify right side
   73,710x = 30,017,641,536
5. Step 5: Solve for x
   x = 30,017,641,536/73,710
6. Step 6: Final answer
   x = 407,239.74