Finding the Third Proportional to 303,564 and 469,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   303,564 : 469,033.50 = 469,033.50 : x
2. Step 2: Convert to fraction form
   303,564/469,033.50 = 469,033.50/x
3. Step 3: Cross multiply
   303,564x = 469,033.50 × 469,033.50
4. Step 4: Simplify right side
   303,564x = 219,992,424,122.25
5. Step 5: Solve for x
   x = 219,992,424,122.25/303,564
6. Step 6: Final answer
   x = 724,698.66