Finding the Third Proportional to 188,464 and 409,648

Step by Step Solution

1. Step 1: Write the proportion equation
   188,464 : 409,648 = 409,648 : x
2. Step 2: Convert to fraction form
   188,464/409,648 = 409,648/x
3. Step 3: Cross multiply
   188,464x = 409,648 × 409,648
4. Step 4: Simplify right side
   188,464x = 167,811,483,904
5. Step 5: Solve for x
   x = 167,811,483,904/188,464
6. Step 6: Final answer
   x = 890,416.65