Finding the Third Proportional to 186,472 and 408,210

Step by Step Solution

1. Step 1: Write the proportion equation
   186,472 : 408,210 = 408,210 : x
2. Step 2: Convert to fraction form
   186,472/408,210 = 408,210/x
3. Step 3: Cross multiply
   186,472x = 408,210 × 408,210
4. Step 4: Simplify right side
   186,472x = 166,635,404,100
5. Step 5: Solve for x
   x = 166,635,404,100/186,472
6. Step 6: Final answer
   x = 893,621.58