Finding the Third Proportional to 189,292.50 and 404,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,292.50 : 404,849.50 = 404,849.50 : x
2. Step 2: Convert to fraction form
   189,292.50/404,849.50 = 404,849.50/x
3. Step 3: Cross multiply
   189,292.50x = 404,849.50 × 404,849.50
4. Step 4: Simplify right side
   189,292.50x = 163,903,117,650.25
5. Step 5: Solve for x
   x = 163,903,117,650.25/189,292.50
6. Step 6: Final answer
   x = 865,872.22