Finding the Third Proportional to 52,808 and 114,760

Step by Step Solution

1. Step 1: Write the proportion equation
   52,808 : 114,760 = 114,760 : x
2. Step 2: Convert to fraction form
   52,808/114,760 = 114,760/x
3. Step 3: Cross multiply
   52,808x = 114,760 × 114,760
4. Step 4: Simplify right side
   52,808x = 13,169,857,600
5. Step 5: Solve for x
   x = 13,169,857,600/52,808
6. Step 6: Final answer
   x = 249,391.33