Finding the Third Proportional to 284,353 and 427,238

Step by Step Solution

1. Step 1: Write the proportion equation
   284,353 : 427,238 = 427,238 : x
2. Step 2: Convert to fraction form
   284,353/427,238 = 427,238/x
3. Step 3: Cross multiply
   284,353x = 427,238 × 427,238
4. Step 4: Simplify right side
   284,353x = 182,532,308,644
5. Step 5: Solve for x
   x = 182,532,308,644/284,353
6. Step 6: Final answer
   x = 641,921.52