Finding the Third Proportional to 144,302 and 196,581

Step by Step Solution

1. Step 1: Write the proportion equation
   144,302 : 196,581 = 196,581 : x
2. Step 2: Convert to fraction form
   144,302/196,581 = 196,581/x
3. Step 3: Cross multiply
   144,302x = 196,581 × 196,581
4. Step 4: Simplify right side
   144,302x = 38,644,089,561
5. Step 5: Solve for x
   x = 38,644,089,561/144,302
6. Step 6: Final answer
   x = 267,800.10