Finding the Third Proportional to 52,794 and 113,840

Step by Step Solution

1. Step 1: Write the proportion equation
   52,794 : 113,840 = 113,840 : x
2. Step 2: Convert to fraction form
   52,794/113,840 = 113,840/x
3. Step 3: Cross multiply
   52,794x = 113,840 × 113,840
4. Step 4: Simplify right side
   52,794x = 12,959,545,600
5. Step 5: Solve for x
   x = 12,959,545,600/52,794
6. Step 6: Final answer
   x = 245,473.83