Finding the Third Proportional to 319,212 and 685,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,212 : 685,462.50 = 685,462.50 : x
2. Step 2: Convert to fraction form
   319,212/685,462.50 = 685,462.50/x
3. Step 3: Cross multiply
   319,212x = 685,462.50 × 685,462.50
4. Step 4: Simplify right side
   319,212x = 469,858,838,906.25
5. Step 5: Solve for x
   x = 469,858,838,906.25/319,212
6. Step 6: Final answer
   x = 1,471,933.51