Finding the Third Proportional to 137,323 and 195,996

Step by Step Solution

1. Step 1: Write the proportion equation
   137,323 : 195,996 = 195,996 : x
2. Step 2: Convert to fraction form
   137,323/195,996 = 195,996/x
3. Step 3: Cross multiply
   137,323x = 195,996 × 195,996
4. Step 4: Simplify right side
   137,323x = 38,414,432,016
5. Step 5: Solve for x
   x = 38,414,432,016/137,323
6. Step 6: Final answer
   x = 279,737.79