Finding the Third Proportional to 301,386 and 409,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,386 : 409,321.50 = 409,321.50 : x
2. Step 2: Convert to fraction form
   301,386/409,321.50 = 409,321.50/x
3. Step 3: Cross multiply
   301,386x = 409,321.50 × 409,321.50
4. Step 4: Simplify right side
   301,386x = 167,544,090,362.25
5. Step 5: Solve for x
   x = 167,544,090,362.25/301,386
6. Step 6: Final answer
   x = 555,911.99