Finding the Third Proportional to 189,619.50 and 406,227

Step by Step Solution

1. Step 1: Write the proportion equation
   189,619.50 : 406,227 = 406,227 : x
2. Step 2: Convert to fraction form
   189,619.50/406,227 = 406,227/x
3. Step 3: Cross multiply
   189,619.50x = 406,227 × 406,227
4. Step 4: Simplify right side
   189,619.50x = 165,020,375,529
5. Step 5: Solve for x
   x = 165,020,375,529/189,619.50
6. Step 6: Final answer
   x = 870,271.12