Finding the Third Proportional to 53,037 and 113,182

Step by Step Solution

1. Step 1: Write the proportion equation
   53,037 : 113,182 = 113,182 : x
2. Step 2: Convert to fraction form
   53,037/113,182 = 113,182/x
3. Step 3: Cross multiply
   53,037x = 113,182 × 113,182
4. Step 4: Simplify right side
   53,037x = 12,810,165,124
5. Step 5: Solve for x
   x = 12,810,165,124/53,037
6. Step 6: Final answer
   x = 241,532.61