Finding the Third Proportional to 52,384 and 113,072

Step by Step Solution

1. Step 1: Write the proportion equation
   52,384 : 113,072 = 113,072 : x
2. Step 2: Convert to fraction form
   52,384/113,072 = 113,072/x
3. Step 3: Cross multiply
   52,384x = 113,072 × 113,072
4. Step 4: Simplify right side
   52,384x = 12,785,277,184
5. Step 5: Solve for x
   x = 12,785,277,184/52,384
6. Step 6: Final answer
   x = 244,068.36