Finding the Third Proportional to 189,342 and 284,499

Step by Step Solution

1. Step 1: Write the proportion equation
   189,342 : 284,499 = 284,499 : x
2. Step 2: Convert to fraction form
   189,342/284,499 = 284,499/x
3. Step 3: Cross multiply
   189,342x = 284,499 × 284,499
4. Step 4: Simplify right side
   189,342x = 80,939,681,001
5. Step 5: Solve for x
   x = 80,939,681,001/189,342
6. Step 6: Final answer
   x = 427,478.75