Finding the Third Proportional to 190,147 and 407,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,147 : 407,286.50 = 407,286.50 : x
2. Step 2: Convert to fraction form
   190,147/407,286.50 = 407,286.50/x
3. Step 3: Cross multiply
   190,147x = 407,286.50 × 407,286.50
4. Step 4: Simplify right side
   190,147x = 165,882,293,082.25
5. Step 5: Solve for x
   x = 165,882,293,082.25/190,147
6. Step 6: Final answer
   x = 872,389.75