Finding the Third Proportional to 64,944 and 142,560

Step by Step Solution

1. Step 1: Write the proportion equation
   64,944 : 142,560 = 142,560 : x
2. Step 2: Convert to fraction form
   64,944/142,560 = 142,560/x
3. Step 3: Cross multiply
   64,944x = 142,560 × 142,560
4. Step 4: Simplify right side
   64,944x = 20,323,353,600
5. Step 5: Solve for x
   x = 20,323,353,600/64,944
6. Step 6: Final answer
   x = 312,936.59