Finding the Third Proportional to 301,426.50 and 410,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,426.50 : 410,494.50 = 410,494.50 : x
2. Step 2: Convert to fraction form
   301,426.50/410,494.50 = 410,494.50/x
3. Step 3: Cross multiply
   301,426.50x = 410,494.50 × 410,494.50
4. Step 4: Simplify right side
   301,426.50x = 168,505,734,530.25
5. Step 5: Solve for x
   x = 168,505,734,530.25/301,426.50
6. Step 6: Final answer
   x = 559,027.61