Finding the Third Proportional to 300,994 and 409,968

Step by Step Solution

1. Step 1: Write the proportion equation
   300,994 : 409,968 = 409,968 : x
2. Step 2: Convert to fraction form
   300,994/409,968 = 409,968/x
3. Step 3: Cross multiply
   300,994x = 409,968 × 409,968
4. Step 4: Simplify right side
   300,994x = 168,073,761,024
5. Step 5: Solve for x
   x = 168,073,761,024/300,994
6. Step 6: Final answer
   x = 558,395.72