Finding the Third Proportional to 152,178 and 227,427

Step by Step Solution

1. Step 1: Write the proportion equation
   152,178 : 227,427 = 227,427 : x
2. Step 2: Convert to fraction form
   152,178/227,427 = 227,427/x
3. Step 3: Cross multiply
   152,178x = 227,427 × 227,427
4. Step 4: Simplify right side
   152,178x = 51,723,040,329
5. Step 5: Solve for x
   x = 51,723,040,329/152,178
6. Step 6: Final answer
   x = 339,885.14