Finding the Third Proportional to 120,682.50 and 142,918.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,682.50 : 142,918.50 = 142,918.50 : x
2. Step 2: Convert to fraction form
   120,682.50/142,918.50 = 142,918.50/x
3. Step 3: Cross multiply
   120,682.50x = 142,918.50 × 142,918.50
4. Step 4: Simplify right side
   120,682.50x = 20,425,697,642.25
5. Step 5: Solve for x
   x = 20,425,697,642.25/120,682.50
6. Step 6: Final answer
   x = 169,251.53