Finding the Third Proportional to 57,178 and 123,892

Step by Step Solution

1. Step 1: Write the proportion equation
   57,178 : 123,892 = 123,892 : x
2. Step 2: Convert to fraction form
   57,178/123,892 = 123,892/x
3. Step 3: Cross multiply
   57,178x = 123,892 × 123,892
4. Step 4: Simplify right side
   57,178x = 15,349,227,664
5. Step 5: Solve for x
   x = 15,349,227,664/57,178
6. Step 6: Final answer
   x = 268,446.39