Finding the Third Proportional to 57,416 and 123,138

Step by Step Solution

1. Step 1: Write the proportion equation
   57,416 : 123,138 = 123,138 : x
2. Step 2: Convert to fraction form
   57,416/123,138 = 123,138/x
3. Step 3: Cross multiply
   57,416x = 123,138 × 123,138
4. Step 4: Simplify right side
   57,416x = 15,162,967,044
5. Step 5: Solve for x
   x = 15,162,967,044/57,416
6. Step 6: Final answer
   x = 264,089.58