Finding the Third Proportional to 301,390.50 and 409,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,390.50 : 409,327.50 = 409,327.50 : x
2. Step 2: Convert to fraction form
   301,390.50/409,327.50 = 409,327.50/x
3. Step 3: Cross multiply
   301,390.50x = 409,327.50 × 409,327.50
4. Step 4: Simplify right side
   301,390.50x = 167,549,002,256.25
5. Step 5: Solve for x
   x = 167,549,002,256.25/301,390.50
6. Step 6: Final answer
   x = 555,919.99