Finding the Third Proportional to 152,984.25 and 333,187

Step by Step Solution

1. Step 1: Write the proportion equation
   152,984.25 : 333,187 = 333,187 : x
2. Step 2: Convert to fraction form
   152,984.25/333,187 = 333,187/x
3. Step 3: Cross multiply
   152,984.25x = 333,187 × 333,187
4. Step 4: Simplify right side
   152,984.25x = 111,013,576,969
5. Step 5: Solve for x
   x = 111,013,576,969/152,984.25
6. Step 6: Final answer
   x = 725,653.63