Finding the Third Proportional to 122,188.50 and 188,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,188.50 : 188,806.50 = 188,806.50 : x
2. Step 2: Convert to fraction form
   122,188.50/188,806.50 = 188,806.50/x
3. Step 3: Cross multiply
   122,188.50x = 188,806.50 × 188,806.50
4. Step 4: Simplify right side
   122,188.50x = 35,647,894,442.25
5. Step 5: Solve for x
   x = 35,647,894,442.25/122,188.50
6. Step 6: Final answer
   x = 291,745.09