Finding the Third Proportional to 52,806 and 114,756

Step by Step Solution

1. Step 1: Write the proportion equation
   52,806 : 114,756 = 114,756 : x
2. Step 2: Convert to fraction form
   52,806/114,756 = 114,756/x
3. Step 3: Cross multiply
   52,806x = 114,756 × 114,756
4. Step 4: Simplify right side
   52,806x = 13,168,939,536
5. Step 5: Solve for x
   x = 13,168,939,536/52,806
6. Step 6: Final answer
   x = 249,383.39