Finding the Third Proportional to 326,610 and 513,247.50

Step by Step Solution

1. Step 1: Write the proportion equation
   326,610 : 513,247.50 = 513,247.50 : x
2. Step 2: Convert to fraction form
   326,610/513,247.50 = 513,247.50/x
3. Step 3: Cross multiply
   326,610x = 513,247.50 × 513,247.50
4. Step 4: Simplify right side
   326,610x = 263,422,996,256.25
5. Step 5: Solve for x
   x = 263,422,996,256.25/326,610
6. Step 6: Final answer
   x = 806,536.84