Finding the Third Proportional to 64,642 and 138,500

Step by Step Solution

1. Step 1: Write the proportion equation
   64,642 : 138,500 = 138,500 : x
2. Step 2: Convert to fraction form
   64,642/138,500 = 138,500/x
3. Step 3: Cross multiply
   64,642x = 138,500 × 138,500
4. Step 4: Simplify right side
   64,642x = 19,182,250,000
5. Step 5: Solve for x
   x = 19,182,250,000/64,642
6. Step 6: Final answer
   x = 296,745.92