Finding the Third Proportional to 319,765.50 and 461,970

Step by Step Solution

1. Step 1: Write the proportion equation
   319,765.50 : 461,970 = 461,970 : x
2. Step 2: Convert to fraction form
   319,765.50/461,970 = 461,970/x
3. Step 3: Cross multiply
   319,765.50x = 461,970 × 461,970
4. Step 4: Simplify right side
   319,765.50x = 213,416,280,900
5. Step 5: Solve for x
   x = 213,416,280,900/319,765.50
6. Step 6: Final answer
   x = 667,414.97