Finding the Third Proportional to 105,343.50 and 195,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,343.50 : 195,742.50 = 195,742.50 : x
2. Step 2: Convert to fraction form
   105,343.50/195,742.50 = 195,742.50/x
3. Step 3: Cross multiply
   105,343.50x = 195,742.50 × 195,742.50
4. Step 4: Simplify right side
   105,343.50x = 38,315,126,306.25
5. Step 5: Solve for x
   x = 38,315,126,306.25/105,343.50
6. Step 6: Final answer
   x = 363,716.09