Finding the Third Proportional to 64,256 and 142,336

Step by Step Solution

1. Step 1: Write the proportion equation
   64,256 : 142,336 = 142,336 : x
2. Step 2: Convert to fraction form
   64,256/142,336 = 142,336/x
3. Step 3: Cross multiply
   64,256x = 142,336 × 142,336
4. Step 4: Simplify right side
   64,256x = 20,259,536,896
5. Step 5: Solve for x
   x = 20,259,536,896/64,256
6. Step 6: Final answer
   x = 315,294.09