Finding the Third Proportional to 100,850.50 and 214,949

Step by Step Solution

1. Step 1: Write the proportion equation
   100,850.50 : 214,949 = 214,949 : x
2. Step 2: Convert to fraction form
   100,850.50/214,949 = 214,949/x
3. Step 3: Cross multiply
   100,850.50x = 214,949 × 214,949
4. Step 4: Simplify right side
   100,850.50x = 46,203,072,601
5. Step 5: Solve for x
   x = 46,203,072,601/100,850.50
6. Step 6: Final answer
   x = 458,134.29