Finding the Third Proportional to 126,198 and 195,373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,198 : 195,373.50 = 195,373.50 : x
2. Step 2: Convert to fraction form
   126,198/195,373.50 = 195,373.50/x
3. Step 3: Cross multiply
   126,198x = 195,373.50 × 195,373.50
4. Step 4: Simplify right side
   126,198x = 38,170,804,502.25
5. Step 5: Solve for x
   x = 38,170,804,502.25/126,198
6. Step 6: Final answer
   x = 302,467.59