Finding the Third Proportional to 57,677 and 123,556

Step by Step Solution

1. Step 1: Write the proportion equation
   57,677 : 123,556 = 123,556 : x
2. Step 2: Convert to fraction form
   57,677/123,556 = 123,556/x
3. Step 3: Cross multiply
   57,677x = 123,556 × 123,556
4. Step 4: Simplify right side
   57,677x = 15,266,085,136
5. Step 5: Solve for x
   x = 15,266,085,136/57,677
6. Step 6: Final answer
   x = 264,682.37