Finding the Third Proportional to 320,571 and 462,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,571 : 462,001.50 = 462,001.50 : x
2. Step 2: Convert to fraction form
   320,571/462,001.50 = 462,001.50/x
3. Step 3: Cross multiply
   320,571x = 462,001.50 × 462,001.50
4. Step 4: Simplify right side
   320,571x = 213,445,386,002.25
5. Step 5: Solve for x
   x = 213,445,386,002.25/320,571
6. Step 6: Final answer
   x = 665,828.74