Finding the Third Proportional to 119,305.50 and 174,949

Step by Step Solution

1. Step 1: Write the proportion equation
   119,305.50 : 174,949 = 174,949 : x
2. Step 2: Convert to fraction form
   119,305.50/174,949 = 174,949/x
3. Step 3: Cross multiply
   119,305.50x = 174,949 × 174,949
4. Step 4: Simplify right side
   119,305.50x = 30,607,152,601
5. Step 5: Solve for x
   x = 30,607,152,601/119,305.50
6. Step 6: Final answer
   x = 256,544.36