Finding the Third Proportional to 253,723 and 333,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,723 : 333,706.50 = 333,706.50 : x
2. Step 2: Convert to fraction form
   253,723/333,706.50 = 333,706.50/x
3. Step 3: Cross multiply
   253,723x = 333,706.50 × 333,706.50
4. Step 4: Simplify right side
   253,723x = 111,360,028,142.25
5. Step 5: Solve for x
   x = 111,360,028,142.25/253,723
6. Step 6: Final answer
   x = 438,903.95