Finding the Third Proportional to 64,652 and 139,144

Step by Step Solution

1. Step 1: Write the proportion equation
   64,652 : 139,144 = 139,144 : x
2. Step 2: Convert to fraction form
   64,652/139,144 = 139,144/x
3. Step 3: Cross multiply
   64,652x = 139,144 × 139,144
4. Step 4: Simplify right side
   64,652x = 19,361,052,736
5. Step 5: Solve for x
   x = 19,361,052,736/64,652
6. Step 6: Final answer
   x = 299,465.64