Finding the Third Proportional to 111,427 and 238,405

Step by Step Solution

1. Step 1: Write the proportion equation
   111,427 : 238,405 = 238,405 : x
2. Step 2: Convert to fraction form
   111,427/238,405 = 238,405/x
3. Step 3: Cross multiply
   111,427x = 238,405 × 238,405
4. Step 4: Simplify right side
   111,427x = 56,836,944,025
5. Step 5: Solve for x
   x = 56,836,944,025/111,427
6. Step 6: Final answer
   x = 510,082.33