Finding the Third Proportional to 126,742.50 and 196,181

Step by Step Solution

1. Step 1: Write the proportion equation
   126,742.50 : 196,181 = 196,181 : x
2. Step 2: Convert to fraction form
   126,742.50/196,181 = 196,181/x
3. Step 3: Cross multiply
   126,742.50x = 196,181 × 196,181
4. Step 4: Simplify right side
   126,742.50x = 38,486,984,761
5. Step 5: Solve for x
   x = 38,486,984,761/126,742.50
6. Step 6: Final answer
   x = 303,662.82