Finding the Third Proportional to 52,738 and 113,266

Step by Step Solution

1. Step 1: Write the proportion equation
   52,738 : 113,266 = 113,266 : x
2. Step 2: Convert to fraction form
   52,738/113,266 = 113,266/x
3. Step 3: Cross multiply
   52,738x = 113,266 × 113,266
4. Step 4: Simplify right side
   52,738x = 12,829,186,756
5. Step 5: Solve for x
   x = 12,829,186,756/52,738
6. Step 6: Final answer
   x = 243,262.67