Finding the Third Proportional to 404,624 and 625,188

Step by Step Solution

1. Step 1: Write the proportion equation
   404,624 : 625,188 = 625,188 : x
2. Step 2: Convert to fraction form
   404,624/625,188 = 625,188/x
3. Step 3: Cross multiply
   404,624x = 625,188 × 625,188
4. Step 4: Simplify right side
   404,624x = 390,860,035,344
5. Step 5: Solve for x
   x = 390,860,035,344/404,624
6. Step 6: Final answer
   x = 965,983.32