Finding the Third Proportional to 186,709.50 and 404,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,709.50 : 404,923.50 = 404,923.50 : x
2. Step 2: Convert to fraction form
   186,709.50/404,923.50 = 404,923.50/x
3. Step 3: Cross multiply
   186,709.50x = 404,923.50 × 404,923.50
4. Step 4: Simplify right side
   186,709.50x = 163,963,040,852.25
5. Step 5: Solve for x
   x = 163,963,040,852.25/186,709.50
6. Step 6: Final answer
   x = 878,171.92