Finding the Third Proportional to 53,856 and 114,192

Step by Step Solution

1. Step 1: Write the proportion equation
   53,856 : 114,192 = 114,192 : x
2. Step 2: Convert to fraction form
   53,856/114,192 = 114,192/x
3. Step 3: Cross multiply
   53,856x = 114,192 × 114,192
4. Step 4: Simplify right side
   53,856x = 13,039,812,864
5. Step 5: Solve for x
   x = 13,039,812,864/53,856
6. Step 6: Final answer
   x = 242,123.68