Finding the Third Proportional to 301,338 and 409,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,338 : 409,255.50 = 409,255.50 : x
2. Step 2: Convert to fraction form
   301,338/409,255.50 = 409,255.50/x
3. Step 3: Cross multiply
   301,338x = 409,255.50 × 409,255.50
4. Step 4: Simplify right side
   301,338x = 167,490,064,280.25
5. Step 5: Solve for x
   x = 167,490,064,280.25/301,338
6. Step 6: Final answer
   x = 555,821.25