Finding the Third Proportional to 186,494 and 407,142

Step by Step Solution

1. Step 1: Write the proportion equation
   186,494 : 407,142 = 407,142 : x
2. Step 2: Convert to fraction form
   186,494/407,142 = 407,142/x
3. Step 3: Cross multiply
   186,494x = 407,142 × 407,142
4. Step 4: Simplify right side
   186,494x = 165,764,608,164
5. Step 5: Solve for x
   x = 165,764,608,164/186,494
6. Step 6: Final answer
   x = 888,846.87