Finding the Third Proportional to 52,028 and 113,966

Step by Step Solution

1. Step 1: Write the proportion equation
   52,028 : 113,966 = 113,966 : x
2. Step 2: Convert to fraction form
   52,028/113,966 = 113,966/x
3. Step 3: Cross multiply
   52,028x = 113,966 × 113,966
4. Step 4: Simplify right side
   52,028x = 12,988,249,156
5. Step 5: Solve for x
   x = 12,988,249,156/52,028
6. Step 6: Final answer
   x = 249,639.60