Finding the Third Proportional to 52,948 and 113,574

Step by Step Solution

1. Step 1: Write the proportion equation
   52,948 : 113,574 = 113,574 : x
2. Step 2: Convert to fraction form
   52,948/113,574 = 113,574/x
3. Step 3: Cross multiply
   52,948x = 113,574 × 113,574
4. Step 4: Simplify right side
   52,948x = 12,899,053,476
5. Step 5: Solve for x
   x = 12,899,053,476/52,948
6. Step 6: Final answer
   x = 243,617.39