Finding the Third Proportional to 189,378 and 414,389.25

Step by Step Solution

1. Step 1: Write the proportion equation
   189,378 : 414,389.25 = 414,389.25 : x
2. Step 2: Convert to fraction form
   189,378/414,389.25 = 414,389.25/x
3. Step 3: Cross multiply
   189,378x = 414,389.25 × 414,389.25
4. Step 4: Simplify right side
   189,378x = 171,718,450,515.56
5. Step 5: Solve for x
   x = 171,718,450,515.56/189,378
6. Step 6: Final answer
   x = 906,749.73