Finding the Third Proportional to 105,394.50 and 142,499.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,394.50 : 142,499.25 = 142,499.25 : x
2. Step 2: Convert to fraction form
   105,394.50/142,499.25 = 142,499.25/x
3. Step 3: Cross multiply
   105,394.50x = 142,499.25 × 142,499.25
4. Step 4: Simplify right side
   105,394.50x = 20,306,036,250.56
5. Step 5: Solve for x
   x = 20,306,036,250.56/105,394.50
6. Step 6: Final answer
   x = 192,666.94