Finding the Third Proportional to 404,129.25 and 588,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,129.25 : 588,424.50 = 588,424.50 : x
2. Step 2: Convert to fraction form
   404,129.25/588,424.50 = 588,424.50/x
3. Step 3: Cross multiply
   404,129.25x = 588,424.50 × 588,424.50
4. Step 4: Simplify right side
   404,129.25x = 346,243,392,200.25
5. Step 5: Solve for x
   x = 346,243,392,200.25/404,129.25
6. Step 6: Final answer
   x = 856,764.00