Finding the Third Proportional to 52,838 and 113,068

Step by Step Solution

1. Step 1: Write the proportion equation
   52,838 : 113,068 = 113,068 : x
2. Step 2: Convert to fraction form
   52,838/113,068 = 113,068/x
3. Step 3: Cross multiply
   52,838x = 113,068 × 113,068
4. Step 4: Simplify right side
   52,838x = 12,784,372,624
5. Step 5: Solve for x
   x = 12,784,372,624/52,838
6. Step 6: Final answer
   x = 241,954.14