Finding the Third Proportional to 189,688.50 and 396,912

Step by Step Solution

1. Step 1: Write the proportion equation
   189,688.50 : 396,912 = 396,912 : x
2. Step 2: Convert to fraction form
   189,688.50/396,912 = 396,912/x
3. Step 3: Cross multiply
   189,688.50x = 396,912 × 396,912
4. Step 4: Simplify right side
   189,688.50x = 157,539,135,744
5. Step 5: Solve for x
   x = 157,539,135,744/189,688.50
6. Step 6: Final answer
   x = 830,514.95