Finding the Third Proportional to 73,744 and 173,342

Step by Step Solution

1. Step 1: Write the proportion equation
   73,744 : 173,342 = 173,342 : x
2. Step 2: Convert to fraction form
   73,744/173,342 = 173,342/x
3. Step 3: Cross multiply
   73,744x = 173,342 × 173,342
4. Step 4: Simplify right side
   73,744x = 30,047,448,964
5. Step 5: Solve for x
   x = 30,047,448,964/73,744
6. Step 6: Final answer
   x = 407,456.19