Finding the Third Proportional to 148,505 and 196,919

Step by Step Solution

1. Step 1: Write the proportion equation
   148,505 : 196,919 = 196,919 : x
2. Step 2: Convert to fraction form
   148,505/196,919 = 196,919/x
3. Step 3: Cross multiply
   148,505x = 196,919 × 196,919
4. Step 4: Simplify right side
   148,505x = 38,777,092,561
5. Step 5: Solve for x
   x = 38,777,092,561/148,505
6. Step 6: Final answer
   x = 261,116.41