Finding the Third Proportional to 86,626 and 189,452

Step by Step Solution

1. Step 1: Write the proportion equation
   86,626 : 189,452 = 189,452 : x
2. Step 2: Convert to fraction form
   86,626/189,452 = 189,452/x
3. Step 3: Cross multiply
   86,626x = 189,452 × 189,452
4. Step 4: Simplify right side
   86,626x = 35,892,060,304
5. Step 5: Solve for x
   x = 35,892,060,304/86,626
6. Step 6: Final answer
   x = 414,333.58