Finding the Third Proportional to 152,984.50 and 333,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,984.50 : 333,187.50 = 333,187.50 : x
2. Step 2: Convert to fraction form
   152,984.50/333,187.50 = 333,187.50/x
3. Step 3: Cross multiply
   152,984.50x = 333,187.50 × 333,187.50
4. Step 4: Simplify right side
   152,984.50x = 111,013,910,156.25
5. Step 5: Solve for x
   x = 111,013,910,156.25/152,984.50
6. Step 6: Final answer
   x = 725,654.63