Finding the Third Proportional to 52,882 and 116,228

Step by Step Solution

1. Step 1: Write the proportion equation
   52,882 : 116,228 = 116,228 : x
2. Step 2: Convert to fraction form
   52,882/116,228 = 116,228/x
3. Step 3: Cross multiply
   52,882x = 116,228 × 116,228
4. Step 4: Simplify right side
   52,882x = 13,508,947,984
5. Step 5: Solve for x
   x = 13,508,947,984/52,882
6. Step 6: Final answer
   x = 255,454.56