Finding the Third Proportional to 52,736 and 113,262

Step by Step Solution

1. Step 1: Write the proportion equation
   52,736 : 113,262 = 113,262 : x
2. Step 2: Convert to fraction form
   52,736/113,262 = 113,262/x
3. Step 3: Cross multiply
   52,736x = 113,262 × 113,262
4. Step 4: Simplify right side
   52,736x = 12,828,280,644
5. Step 5: Solve for x
   x = 12,828,280,644/52,736
6. Step 6: Final answer
   x = 243,254.71