Finding the Third Proportional to 89,151 and 195,870

Step by Step Solution

1. Step 1: Write the proportion equation
   89,151 : 195,870 = 195,870 : x
2. Step 2: Convert to fraction form
   89,151/195,870 = 195,870/x
3. Step 3: Cross multiply
   89,151x = 195,870 × 195,870
4. Step 4: Simplify right side
   89,151x = 38,365,056,900
5. Step 5: Solve for x
   x = 38,365,056,900/89,151
6. Step 6: Final answer
   x = 430,337.93