Finding the Third Proportional to 189,200 and 413,914

Step by Step Solution

1. Step 1: Write the proportion equation
   189,200 : 413,914 = 413,914 : x
2. Step 2: Convert to fraction form
   189,200/413,914 = 413,914/x
3. Step 3: Cross multiply
   189,200x = 413,914 × 413,914
4. Step 4: Simplify right side
   189,200x = 171,324,799,396
5. Step 5: Solve for x
   x = 171,324,799,396/189,200
6. Step 6: Final answer
   x = 905,522.20