Finding the Third Proportional to 153,006 and 333,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,006 : 333,229.50 = 333,229.50 : x
2. Step 2: Convert to fraction form
   153,006/333,229.50 = 333,229.50/x
3. Step 3: Cross multiply
   153,006x = 333,229.50 × 333,229.50
4. Step 4: Simplify right side
   153,006x = 111,041,899,670.25
5. Step 5: Solve for x
   x = 111,041,899,670.25/153,006
6. Step 6: Final answer
   x = 725,735.59