Finding the Third Proportional to 53,686 and 112,268

Step by Step Solution

1. Step 1: Write the proportion equation
   53,686 : 112,268 = 112,268 : x
2. Step 2: Convert to fraction form
   53,686/112,268 = 112,268/x
3. Step 3: Cross multiply
   53,686x = 112,268 × 112,268
4. Step 4: Simplify right side
   53,686x = 12,604,103,824
5. Step 5: Solve for x
   x = 12,604,103,824/53,686
6. Step 6: Final answer
   x = 234,774.50