Finding the Third Proportional to 116,838 and 176,040

Step by Step Solution

1. Step 1: Write the proportion equation
   116,838 : 176,040 = 176,040 : x
2. Step 2: Convert to fraction form
   116,838/176,040 = 176,040/x
3. Step 3: Cross multiply
   116,838x = 176,040 × 176,040
4. Step 4: Simplify right side
   116,838x = 30,990,081,600
5. Step 5: Solve for x
   x = 30,990,081,600/116,838
6. Step 6: Final answer
   x = 265,239.75