Finding the Third Proportional to 261,667.50 and 563,429.25

Step by Step Solution

1. Step 1: Write the proportion equation
   261,667.50 : 563,429.25 = 563,429.25 : x
2. Step 2: Convert to fraction form
   261,667.50/563,429.25 = 563,429.25/x
3. Step 3: Cross multiply
   261,667.50x = 563,429.25 × 563,429.25
4. Step 4: Simplify right side
   261,667.50x = 317,452,519,755.56
5. Step 5: Solve for x
   x = 317,452,519,755.56/261,667.50
6. Step 6: Final answer
   x = 1,213,190.48