Finding the Third Proportional to 185,138 and 383,404

Step by Step Solution

1. Step 1: Write the proportion equation
   185,138 : 383,404 = 383,404 : x
2. Step 2: Convert to fraction form
   185,138/383,404 = 383,404/x
3. Step 3: Cross multiply
   185,138x = 383,404 × 383,404
4. Step 4: Simplify right side
   185,138x = 146,998,627,216
5. Step 5: Solve for x
   x = 146,998,627,216/185,138
6. Step 6: Final answer
   x = 793,994.90