Finding the Third Proportional to 52,496 and 114,464

Step by Step Solution

1. Step 1: Write the proportion equation
   52,496 : 114,464 = 114,464 : x
2. Step 2: Convert to fraction form
   52,496/114,464 = 114,464/x
3. Step 3: Cross multiply
   52,496x = 114,464 × 114,464
4. Step 4: Simplify right side
   52,496x = 13,102,007,296
5. Step 5: Solve for x
   x = 13,102,007,296/52,496
6. Step 6: Final answer
   x = 249,581.06