Finding the Third Proportional to 64,638 and 141,984

Step by Step Solution

1. Step 1: Write the proportion equation
   64,638 : 141,984 = 141,984 : x
2. Step 2: Convert to fraction form
   64,638/141,984 = 141,984/x
3. Step 3: Cross multiply
   64,638x = 141,984 × 141,984
4. Step 4: Simplify right side
   64,638x = 20,159,456,256
5. Step 5: Solve for x
   x = 20,159,456,256/64,638
6. Step 6: Final answer
   x = 311,882.43