Finding the Third Proportional to 52,713 and 114,243

Step by Step Solution

1. Step 1: Write the proportion equation
   52,713 : 114,243 = 114,243 : x
2. Step 2: Convert to fraction form
   52,713/114,243 = 114,243/x
3. Step 3: Cross multiply
   52,713x = 114,243 × 114,243
4. Step 4: Simplify right side
   52,713x = 13,051,463,049
5. Step 5: Solve for x
   x = 13,051,463,049/52,713
6. Step 6: Final answer
   x = 247,594.77