Finding the Third Proportional to 64,824 and 143,256

Step by Step Solution

1. Step 1: Write the proportion equation
   64,824 : 143,256 = 143,256 : x
2. Step 2: Convert to fraction form
   64,824/143,256 = 143,256/x
3. Step 3: Cross multiply
   64,824x = 143,256 × 143,256
4. Step 4: Simplify right side
   64,824x = 20,522,281,536
5. Step 5: Solve for x
   x = 20,522,281,536/64,824
6. Step 6: Final answer
   x = 316,584.62