Finding the Third Proportional to 305,096 and 472,404

Step by Step Solution

1. Step 1: Write the proportion equation
   305,096 : 472,404 = 472,404 : x
2. Step 2: Convert to fraction form
   305,096/472,404 = 472,404/x
3. Step 3: Cross multiply
   305,096x = 472,404 × 472,404
4. Step 4: Simplify right side
   305,096x = 223,165,539,216
5. Step 5: Solve for x
   x = 223,165,539,216/305,096
6. Step 6: Final answer
   x = 731,460.06