Finding the Third Proportional to 57,159 and 123,858

Step by Step Solution

1. Step 1: Write the proportion equation
   57,159 : 123,858 = 123,858 : x
2. Step 2: Convert to fraction form
   57,159/123,858 = 123,858/x
3. Step 3: Cross multiply
   57,159x = 123,858 × 123,858
4. Step 4: Simplify right side
   57,159x = 15,340,804,164
5. Step 5: Solve for x
   x = 15,340,804,164/57,159
6. Step 6: Final answer
   x = 268,388.25