Finding the Third Proportional to 52,313 and 113,212

Step by Step Solution

1. Step 1: Write the proportion equation
   52,313 : 113,212 = 113,212 : x
2. Step 2: Convert to fraction form
   52,313/113,212 = 113,212/x
3. Step 3: Cross multiply
   52,313x = 113,212 × 113,212
4. Step 4: Simplify right side
   52,313x = 12,816,956,944
5. Step 5: Solve for x
   x = 12,816,956,944/52,313
6. Step 6: Final answer
   x = 245,005.20