Finding the Third Proportional to 178,508 and 386,404

Step by Step Solution

1. Step 1: Write the proportion equation
   178,508 : 386,404 = 386,404 : x
2. Step 2: Convert to fraction form
   178,508/386,404 = 386,404/x
3. Step 3: Cross multiply
   178,508x = 386,404 × 386,404
4. Step 4: Simplify right side
   178,508x = 149,308,051,216
5. Step 5: Solve for x
   x = 149,308,051,216/178,508
6. Step 6: Final answer
   x = 836,422.18