Finding the Third Proportional to 259,667.50 and 410,821

Step by Step Solution

1. Step 1: Write the proportion equation
   259,667.50 : 410,821 = 410,821 : x
2. Step 2: Convert to fraction form
   259,667.50/410,821 = 410,821/x
3. Step 3: Cross multiply
   259,667.50x = 410,821 × 410,821
4. Step 4: Simplify right side
   259,667.50x = 168,773,894,041
5. Step 5: Solve for x
   x = 168,773,894,041/259,667.50
6. Step 6: Final answer
   x = 649,961.56