Finding the Third Proportional to 189,793.50 and 400,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,793.50 : 400,921.50 = 400,921.50 : x
2. Step 2: Convert to fraction form
   189,793.50/400,921.50 = 400,921.50/x
3. Step 3: Cross multiply
   189,793.50x = 400,921.50 × 400,921.50
4. Step 4: Simplify right side
   189,793.50x = 160,738,049,162.25
5. Step 5: Solve for x
   x = 160,738,049,162.25/189,793.50
6. Step 6: Final answer
   x = 846,910.19