Finding the Third Proportional to 309,262.50 and 478,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,262.50 : 478,858.50 = 478,858.50 : x
2. Step 2: Convert to fraction form
   309,262.50/478,858.50 = 478,858.50/x
3. Step 3: Cross multiply
   309,262.50x = 478,858.50 × 478,858.50
4. Step 4: Simplify right side
   309,262.50x = 229,305,463,022.25
5. Step 5: Solve for x
   x = 229,305,463,022.25/309,262.50
6. Step 6: Final answer
   x = 741,459.00