Finding the Third Proportional to 52,911 and 111,276

Step by Step Solution

1. Step 1: Write the proportion equation
   52,911 : 111,276 = 111,276 : x
2. Step 2: Convert to fraction form
   52,911/111,276 = 111,276/x
3. Step 3: Cross multiply
   52,911x = 111,276 × 111,276
4. Step 4: Simplify right side
   52,911x = 12,382,348,176
5. Step 5: Solve for x
   x = 12,382,348,176/52,911
6. Step 6: Final answer
   x = 234,022.19