Finding the Third Proportional to 119,155.50 and 174,723

Step by Step Solution

1. Step 1: Write the proportion equation
   119,155.50 : 174,723 = 174,723 : x
2. Step 2: Convert to fraction form
   119,155.50/174,723 = 174,723/x
3. Step 3: Cross multiply
   119,155.50x = 174,723 × 174,723
4. Step 4: Simplify right side
   119,155.50x = 30,528,126,729
5. Step 5: Solve for x
   x = 30,528,126,729/119,155.50
6. Step 6: Final answer
   x = 256,204.09