Finding the Third Proportional to 189,321 and 414,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,321 : 414,280.50 = 414,280.50 : x
2. Step 2: Convert to fraction form
   189,321/414,280.50 = 414,280.50/x
3. Step 3: Cross multiply
   189,321x = 414,280.50 × 414,280.50
4. Step 4: Simplify right side
   189,321x = 171,628,332,680.25
5. Step 5: Solve for x
   x = 171,628,332,680.25/189,321
6. Step 6: Final answer
   x = 906,546.73