Finding the Third Proportional to 189,364.50 and 412,626

Step by Step Solution

1. Step 1: Write the proportion equation
   189,364.50 : 412,626 = 412,626 : x
2. Step 2: Convert to fraction form
   189,364.50/412,626 = 412,626/x
3. Step 3: Cross multiply
   189,364.50x = 412,626 × 412,626
4. Step 4: Simplify right side
   189,364.50x = 170,260,215,876
5. Step 5: Solve for x
   x = 170,260,215,876/189,364.50
6. Step 6: Final answer
   x = 899,113.70