Finding the Third Proportional to 200,259.75 and 300,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,259.75 : 300,429.50 = 300,429.50 : x
2. Step 2: Convert to fraction form
   200,259.75/300,429.50 = 300,429.50/x
3. Step 3: Cross multiply
   200,259.75x = 300,429.50 × 300,429.50
4. Step 4: Simplify right side
   200,259.75x = 90,257,884,470.25
5. Step 5: Solve for x
   x = 90,257,884,470.25/200,259.75
6. Step 6: Final answer
   x = 450,704.07