Finding the Third Proportional to 52,886 and 111,226

Step by Step Solution

1. Step 1: Write the proportion equation
   52,886 : 111,226 = 111,226 : x
2. Step 2: Convert to fraction form
   52,886/111,226 = 111,226/x
3. Step 3: Cross multiply
   52,886x = 111,226 × 111,226
4. Step 4: Simplify right side
   52,886x = 12,371,223,076
5. Step 5: Solve for x
   x = 12,371,223,076/52,886
6. Step 6: Final answer
   x = 233,922.46