Finding the Third Proportional to 57,376 and 123,816

Step by Step Solution

1. Step 1: Write the proportion equation
   57,376 : 123,816 = 123,816 : x
2. Step 2: Convert to fraction form
   57,376/123,816 = 123,816/x
3. Step 3: Cross multiply
   57,376x = 123,816 × 123,816
4. Step 4: Simplify right side
   57,376x = 15,330,401,856
5. Step 5: Solve for x
   x = 15,330,401,856/57,376
6. Step 6: Final answer
   x = 267,191.89