Finding the Third Proportional to 55,686 and 116,840

Step by Step Solution

1. Step 1: Write the proportion equation
   55,686 : 116,840 = 116,840 : x
2. Step 2: Convert to fraction form
   55,686/116,840 = 116,840/x
3. Step 3: Cross multiply
   55,686x = 116,840 × 116,840
4. Step 4: Simplify right side
   55,686x = 13,651,585,600
5. Step 5: Solve for x
   x = 13,651,585,600/55,686
6. Step 6: Final answer
   x = 245,152.92