Finding the Third Proportional to 152,584.50 and 221,950.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,584.50 : 221,950.50 = 221,950.50 : x
2. Step 2: Convert to fraction form
   152,584.50/221,950.50 = 221,950.50/x
3. Step 3: Cross multiply
   152,584.50x = 221,950.50 × 221,950.50
4. Step 4: Simplify right side
   152,584.50x = 49,262,024,450.25
5. Step 5: Solve for x
   x = 49,262,024,450.25/152,584.50
6. Step 6: Final answer
   x = 322,850.78