Finding the Third Proportional to 53,162 and 116,644

Step by Step Solution

1. Step 1: Write the proportion equation
   53,162 : 116,644 = 116,644 : x
2. Step 2: Convert to fraction form
   53,162/116,644 = 116,644/x
3. Step 3: Cross multiply
   53,162x = 116,644 × 116,644
4. Step 4: Simplify right side
   53,162x = 13,605,822,736
5. Step 5: Solve for x
   x = 13,605,822,736/53,162
6. Step 6: Final answer
   x = 255,931.36