Finding the Third Proportional to 52,463 and 113,302

Step by Step Solution

1. Step 1: Write the proportion equation
   52,463 : 113,302 = 113,302 : x
2. Step 2: Convert to fraction form
   52,463/113,302 = 113,302/x
3. Step 3: Cross multiply
   52,463x = 113,302 × 113,302
4. Step 4: Simplify right side
   52,463x = 12,837,343,204
5. Step 5: Solve for x
   x = 12,837,343,204/52,463
6. Step 6: Final answer
   x = 244,693.27