Finding the Third Proportional to 64,944 and 139,584

Step by Step Solution

1. Step 1: Write the proportion equation
   64,944 : 139,584 = 139,584 : x
2. Step 2: Convert to fraction form
   64,944/139,584 = 139,584/x
3. Step 3: Cross multiply
   64,944x = 139,584 × 139,584
4. Step 4: Simplify right side
   64,944x = 19,483,693,056
5. Step 5: Solve for x
   x = 19,483,693,056/64,944
6. Step 6: Final answer
   x = 300,007.59