Finding the Third Proportional to 52,464 and 113,304

Step by Step Solution

1. Step 1: Write the proportion equation
   52,464 : 113,304 = 113,304 : x
2. Step 2: Convert to fraction form
   52,464/113,304 = 113,304/x
3. Step 3: Cross multiply
   52,464x = 113,304 × 113,304
4. Step 4: Simplify right side
   52,464x = 12,837,796,416
5. Step 5: Solve for x
   x = 12,837,796,416/52,464
6. Step 6: Final answer
   x = 244,697.25