Finding the Third Proportional to 189,225 and 402,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,225 : 402,974.50 = 402,974.50 : x
2. Step 2: Convert to fraction form
   189,225/402,974.50 = 402,974.50/x
3. Step 3: Cross multiply
   189,225x = 402,974.50 × 402,974.50
4. Step 4: Simplify right side
   189,225x = 162,388,447,650.25
5. Step 5: Solve for x
   x = 162,388,447,650.25/189,225
6. Step 6: Final answer
   x = 858,176.50