Finding the Third Proportional to 57,267 and 116,145

Step by Step Solution

1. Step 1: Write the proportion equation
   57,267 : 116,145 = 116,145 : x
2. Step 2: Convert to fraction form
   57,267/116,145 = 116,145/x
3. Step 3: Cross multiply
   57,267x = 116,145 × 116,145
4. Step 4: Simplify right side
   57,267x = 13,489,661,025
5. Step 5: Solve for x
   x = 13,489,661,025/57,267
6. Step 6: Final answer
   x = 235,557.32