Finding the Third Proportional to 189,581.50 and 412,640

Step by Step Solution

1. Step 1: Write the proportion equation
   189,581.50 : 412,640 = 412,640 : x
2. Step 2: Convert to fraction form
   189,581.50/412,640 = 412,640/x
3. Step 3: Cross multiply
   189,581.50x = 412,640 × 412,640
4. Step 4: Simplify right side
   189,581.50x = 170,271,769,600
5. Step 5: Solve for x
   x = 170,271,769,600/189,581.50
6. Step 6: Final answer
   x = 898,145.49