Finding the Third Proportional to 120,741 and 174,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,741 : 174,142.50 = 174,142.50 : x
2. Step 2: Convert to fraction form
   120,741/174,142.50 = 174,142.50/x
3. Step 3: Cross multiply
   120,741x = 174,142.50 × 174,142.50
4. Step 4: Simplify right side
   120,741x = 30,325,610,306.25
5. Step 5: Solve for x
   x = 30,325,610,306.25/120,741
6. Step 6: Final answer
   x = 251,162.49