Finding the Third Proportional to 64,707 and 142,422

Step by Step Solution

1. Step 1: Write the proportion equation
   64,707 : 142,422 = 142,422 : x
2. Step 2: Convert to fraction form
   64,707/142,422 = 142,422/x
3. Step 3: Cross multiply
   64,707x = 142,422 × 142,422
4. Step 4: Simplify right side
   64,707x = 20,284,026,084
5. Step 5: Solve for x
   x = 20,284,026,084/64,707
6. Step 6: Final answer
   x = 313,474.99