Finding the Third Proportional to 55,510 and 116,822

Step by Step Solution

1. Step 1: Write the proportion equation
   55,510 : 116,822 = 116,822 : x
2. Step 2: Convert to fraction form
   55,510/116,822 = 116,822/x
3. Step 3: Cross multiply
   55,510x = 116,822 × 116,822
4. Step 4: Simplify right side
   55,510x = 13,647,379,684
5. Step 5: Solve for x
   x = 13,647,379,684/55,510
6. Step 6: Final answer
   x = 245,854.43