Finding the Third Proportional to 52,384 and 113,066

Step by Step Solution

1. Step 1: Write the proportion equation
   52,384 : 113,066 = 113,066 : x
2. Step 2: Convert to fraction form
   52,384/113,066 = 113,066/x
3. Step 3: Cross multiply
   52,384x = 113,066 × 113,066
4. Step 4: Simplify right side
   52,384x = 12,783,920,356
5. Step 5: Solve for x
   x = 12,783,920,356/52,384
6. Step 6: Final answer
   x = 244,042.46