Finding the Third Proportional to 255,929.50 and 401,443

Step by Step Solution

1. Step 1: Write the proportion equation
   255,929.50 : 401,443 = 401,443 : x
2. Step 2: Convert to fraction form
   255,929.50/401,443 = 401,443/x
3. Step 3: Cross multiply
   255,929.50x = 401,443 × 401,443
4. Step 4: Simplify right side
   255,929.50x = 161,156,482,249
5. Step 5: Solve for x
   x = 161,156,482,249/255,929.50
6. Step 6: Final answer
   x = 629,690.92