Finding the Third Proportional to 64,402 and 142,626

Step by Step Solution

1. Step 1: Write the proportion equation
   64,402 : 142,626 = 142,626 : x
2. Step 2: Convert to fraction form
   64,402/142,626 = 142,626/x
3. Step 3: Cross multiply
   64,402x = 142,626 × 142,626
4. Step 4: Simplify right side
   64,402x = 20,342,175,876
5. Step 5: Solve for x
   x = 20,342,175,876/64,402
6. Step 6: Final answer
   x = 315,862.49