Finding the Third Proportional to 89,689 and 196,871

Step by Step Solution

1. Step 1: Write the proportion equation
   89,689 : 196,871 = 196,871 : x
2. Step 2: Convert to fraction form
   89,689/196,871 = 196,871/x
3. Step 3: Cross multiply
   89,689x = 196,871 × 196,871
4. Step 4: Simplify right side
   89,689x = 38,758,190,641
5. Step 5: Solve for x
   x = 38,758,190,641/89,689
6. Step 6: Final answer
   x = 432,139.85