Finding the Third Proportional to 200,424 and 322,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,424 : 322,357.50 = 322,357.50 : x
2. Step 2: Convert to fraction form
   200,424/322,357.50 = 322,357.50/x
3. Step 3: Cross multiply
   200,424x = 322,357.50 × 322,357.50
4. Step 4: Simplify right side
   200,424x = 103,914,357,806.25
5. Step 5: Solve for x
   x = 103,914,357,806.25/200,424
6. Step 6: Final answer
   x = 518,472.63