Finding the Third Proportional to 300,994.50 and 409,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,994.50 : 409,969.50 = 409,969.50 : x
2. Step 2: Convert to fraction form
   300,994.50/409,969.50 = 409,969.50/x
3. Step 3: Cross multiply
   300,994.50x = 409,969.50 × 409,969.50
4. Step 4: Simplify right side
   300,994.50x = 168,074,990,930.25
5. Step 5: Solve for x
   x = 168,074,990,930.25/300,994.50
6. Step 6: Final answer
   x = 558,398.88