Finding the Third Proportional to 53,200 and 116,768

Step by Step Solution

1. Step 1: Write the proportion equation
   53,200 : 116,768 = 116,768 : x
2. Step 2: Convert to fraction form
   53,200/116,768 = 116,768/x
3. Step 3: Cross multiply
   53,200x = 116,768 × 116,768
4. Step 4: Simplify right side
   53,200x = 13,634,765,824
5. Step 5: Solve for x
   x = 13,634,765,824/53,200
6. Step 6: Final answer
   x = 256,292.59