Finding the Third Proportional to 57,616 and 123,216

Step by Step Solution

1. Step 1: Write the proportion equation
   57,616 : 123,216 = 123,216 : x
2. Step 2: Convert to fraction form
   57,616/123,216 = 123,216/x
3. Step 3: Cross multiply
   57,616x = 123,216 × 123,216
4. Step 4: Simplify right side
   57,616x = 15,182,182,656
5. Step 5: Solve for x
   x = 15,182,182,656/57,616
6. Step 6: Final answer
   x = 263,506.36