Finding the Third Proportional to 141,681.50 and 196,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,681.50 : 196,371.50 = 196,371.50 : x
2. Step 2: Convert to fraction form
   141,681.50/196,371.50 = 196,371.50/x
3. Step 3: Cross multiply
   141,681.50x = 196,371.50 × 196,371.50
4. Step 4: Simplify right side
   141,681.50x = 38,561,766,012.25
5. Step 5: Solve for x
   x = 38,561,766,012.25/141,681.50
6. Step 6: Final answer
   x = 272,172.20