Finding the Third Proportional to 64,724 and 142,456

Step by Step Solution

1. Step 1: Write the proportion equation
   64,724 : 142,456 = 142,456 : x
2. Step 2: Convert to fraction form
   64,724/142,456 = 142,456/x
3. Step 3: Cross multiply
   64,724x = 142,456 × 142,456
4. Step 4: Simplify right side
   64,724x = 20,293,711,936
5. Step 5: Solve for x
   x = 20,293,711,936/64,724
6. Step 6: Final answer
   x = 313,542.30