Finding the Third Proportional to 52,944 and 116,382

Step by Step Solution

1. Step 1: Write the proportion equation
   52,944 : 116,382 = 116,382 : x
2. Step 2: Convert to fraction form
   52,944/116,382 = 116,382/x
3. Step 3: Cross multiply
   52,944x = 116,382 × 116,382
4. Step 4: Simplify right side
   52,944x = 13,544,769,924
5. Step 5: Solve for x
   x = 13,544,769,924/52,944
6. Step 6: Final answer
   x = 255,832.01