Finding the Third Proportional to 52,072 and 114,383

Step by Step Solution

1. Step 1: Write the proportion equation
   52,072 : 114,383 = 114,383 : x
2. Step 2: Convert to fraction form
   52,072/114,383 = 114,383/x
3. Step 3: Cross multiply
   52,072x = 114,383 × 114,383
4. Step 4: Simplify right side
   52,072x = 13,083,470,689
5. Step 5: Solve for x
   x = 13,083,470,689/52,072
6. Step 6: Final answer
   x = 251,257.31