Finding the Third Proportional to 404,824.50 and 594,101.25

Step by Step Solution

1. Step 1: Write the proportion equation
   404,824.50 : 594,101.25 = 594,101.25 : x
2. Step 2: Convert to fraction form
   404,824.50/594,101.25 = 594,101.25/x
3. Step 3: Cross multiply
   404,824.50x = 594,101.25 × 594,101.25
4. Step 4: Simplify right side
   404,824.50x = 352,956,295,251.56
5. Step 5: Solve for x
   x = 352,956,295,251.56/404,824.50
6. Step 6: Final answer
   x = 871,874.84