Finding the Third Proportional to 131,223 and 196,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,223 : 196,798.50 = 196,798.50 : x
2. Step 2: Convert to fraction form
   131,223/196,798.50 = 196,798.50/x
3. Step 3: Cross multiply
   131,223x = 196,798.50 × 196,798.50
4. Step 4: Simplify right side
   131,223x = 38,729,649,602.25
5. Step 5: Solve for x
   x = 38,729,649,602.25/131,223
6. Step 6: Final answer
   x = 295,143.76