Finding the Third Proportional to 64,824 and 142,320

Step by Step Solution

1. Step 1: Write the proportion equation
   64,824 : 142,320 = 142,320 : x
2. Step 2: Convert to fraction form
   64,824/142,320 = 142,320/x
3. Step 3: Cross multiply
   64,824x = 142,320 × 142,320
4. Step 4: Simplify right side
   64,824x = 20,254,982,400
5. Step 5: Solve for x
   x = 20,254,982,400/64,824
6. Step 6: Final answer
   x = 312,461.16