Finding the Third Proportional to 321,641 and 428,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,641 : 428,796.50 = 428,796.50 : x
2. Step 2: Convert to fraction form
   321,641/428,796.50 = 428,796.50/x
3. Step 3: Cross multiply
   321,641x = 428,796.50 × 428,796.50
4. Step 4: Simplify right side
   321,641x = 183,866,438,412.25
5. Step 5: Solve for x
   x = 183,866,438,412.25/321,641
6. Step 6: Final answer
   x = 571,651.12