Finding the Third Proportional to 52,284 and 111,311

Step by Step Solution

1. Step 1: Write the proportion equation
   52,284 : 111,311 = 111,311 : x
2. Step 2: Convert to fraction form
   52,284/111,311 = 111,311/x
3. Step 3: Cross multiply
   52,284x = 111,311 × 111,311
4. Step 4: Simplify right side
   52,284x = 12,390,138,721
5. Step 5: Solve for x
   x = 12,390,138,721/52,284
6. Step 6: Final answer
   x = 236,977.64