Finding the Third Proportional to 189,684 and 396,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,684 : 396,904.50 = 396,904.50 : x
2. Step 2: Convert to fraction form
   189,684/396,904.50 = 396,904.50/x
3. Step 3: Cross multiply
   189,684x = 396,904.50 × 396,904.50
4. Step 4: Simplify right side
   189,684x = 157,533,182,120.25
5. Step 5: Solve for x
   x = 157,533,182,120.25/189,684
6. Step 6: Final answer
   x = 830,503.27