Finding the Third Proportional to 152,681.25 and 333,648.75

Step by Step Solution

1. Step 1: Write the proportion equation
   152,681.25 : 333,648.75 = 333,648.75 : x
2. Step 2: Convert to fraction form
   152,681.25/333,648.75 = 333,648.75/x
3. Step 3: Cross multiply
   152,681.25x = 333,648.75 × 333,648.75
4. Step 4: Simplify right side
   152,681.25x = 111,321,488,376.56
5. Step 5: Solve for x
   x = 111,321,488,376.56/152,681.25
6. Step 6: Final answer
   x = 729,110.41