Finding the Third Proportional to 116,820 and 177,540

Step by Step Solution

1. Step 1: Write the proportion equation
   116,820 : 177,540 = 177,540 : x
2. Step 2: Convert to fraction form
   116,820/177,540 = 177,540/x
3. Step 3: Cross multiply
   116,820x = 177,540 × 177,540
4. Step 4: Simplify right side
   116,820x = 31,520,451,600
5. Step 5: Solve for x
   x = 31,520,451,600/116,820
6. Step 6: Final answer
   x = 269,820.68