Finding the Third Proportional to 64,384 and 142,592

Step by Step Solution

1. Step 1: Write the proportion equation
   64,384 : 142,592 = 142,592 : x
2. Step 2: Convert to fraction form
   64,384/142,592 = 142,592/x
3. Step 3: Cross multiply
   64,384x = 142,592 × 142,592
4. Step 4: Simplify right side
   64,384x = 20,332,478,464
5. Step 5: Solve for x
   x = 20,332,478,464/64,384
6. Step 6: Final answer
   x = 315,800.17