Finding the Third Proportional to 186,471 and 408,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,471 : 408,208.50 = 408,208.50 : x
2. Step 2: Convert to fraction form
   186,471/408,208.50 = 408,208.50/x
3. Step 3: Cross multiply
   186,471x = 408,208.50 × 408,208.50
4. Step 4: Simplify right side
   186,471x = 166,634,179,472.25
5. Step 5: Solve for x
   x = 166,634,179,472.25/186,471
6. Step 6: Final answer
   x = 893,619.81