Finding the Third Proportional to 64,642 and 139,642

Step by Step Solution

1. Step 1: Write the proportion equation
   64,642 : 139,642 = 139,642 : x
2. Step 2: Convert to fraction form
   64,642/139,642 = 139,642/x
3. Step 3: Cross multiply
   64,642x = 139,642 × 139,642
4. Step 4: Simplify right side
   64,642x = 19,499,888,164
5. Step 5: Solve for x
   x = 19,499,888,164/64,642
6. Step 6: Final answer
   x = 301,659.73