Finding the Third Proportional to 53,468 and 116,958

Step by Step Solution

1. Step 1: Write the proportion equation
   53,468 : 116,958 = 116,958 : x
2. Step 2: Convert to fraction form
   53,468/116,958 = 116,958/x
3. Step 3: Cross multiply
   53,468x = 116,958 × 116,958
4. Step 4: Simplify right side
   53,468x = 13,679,173,764
5. Step 5: Solve for x
   x = 13,679,173,764/53,468
6. Step 6: Final answer
   x = 255,838.52