Finding the Third Proportional to 53,223 and 116,814

Step by Step Solution

1. Step 1: Write the proportion equation
   53,223 : 116,814 = 116,814 : x
2. Step 2: Convert to fraction form
   53,223/116,814 = 116,814/x
3. Step 3: Cross multiply
   53,223x = 116,814 × 116,814
4. Step 4: Simplify right side
   53,223x = 13,645,510,596
5. Step 5: Solve for x
   x = 13,645,510,596/53,223
6. Step 6: Final answer
   x = 256,383.72