Finding the Third Proportional to 404,329.50 and 598,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,329.50 : 598,612.50 = 598,612.50 : x
2. Step 2: Convert to fraction form
   404,329.50/598,612.50 = 598,612.50/x
3. Step 3: Cross multiply
   404,329.50x = 598,612.50 × 598,612.50
4. Step 4: Simplify right side
   404,329.50x = 358,336,925,156.25
5. Step 5: Solve for x
   x = 358,336,925,156.25/404,329.50
6. Step 6: Final answer
   x = 886,249.77