Finding the Third Proportional to 57,118 and 123,769

Step by Step Solution

1. Step 1: Write the proportion equation
   57,118 : 123,769 = 123,769 : x
2. Step 2: Convert to fraction form
   57,118/123,769 = 123,769/x
3. Step 3: Cross multiply
   57,118x = 123,769 × 123,769
4. Step 4: Simplify right side
   57,118x = 15,318,765,361
5. Step 5: Solve for x
   x = 15,318,765,361/57,118
6. Step 6: Final answer
   x = 268,195.06