Finding the Third Proportional to 53,959.50 and 117,758.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,959.50 : 117,758.25 = 117,758.25 : x
2. Step 2: Convert to fraction form
   53,959.50/117,758.25 = 117,758.25/x
3. Step 3: Cross multiply
   53,959.50x = 117,758.25 × 117,758.25
4. Step 4: Simplify right side
   53,959.50x = 13,867,005,443.06
5. Step 5: Solve for x
   x = 13,867,005,443.06/53,959.50
6. Step 6: Final answer
   x = 256,989.14