Finding the Third Proportional to 52,216 and 106,256

Step by Step Solution

1. Step 1: Write the proportion equation
   52,216 : 106,256 = 106,256 : x
2. Step 2: Convert to fraction form
   52,216/106,256 = 106,256/x
3. Step 3: Cross multiply
   52,216x = 106,256 × 106,256
4. Step 4: Simplify right side
   52,216x = 11,290,337,536
5. Step 5: Solve for x
   x = 11,290,337,536/52,216
6. Step 6: Final answer
   x = 216,223.72