Finding the Third Proportional to 52,314 and 113,259

Step by Step Solution

1. Step 1: Write the proportion equation
   52,314 : 113,259 = 113,259 : x
2. Step 2: Convert to fraction form
   52,314/113,259 = 113,259/x
3. Step 3: Cross multiply
   52,314x = 113,259 × 113,259
4. Step 4: Simplify right side
   52,314x = 12,827,601,081
5. Step 5: Solve for x
   x = 12,827,601,081/52,314
6. Step 6: Final answer
   x = 245,203.98