Finding the Third Proportional to 89,146 and 195,789

Step by Step Solution

1. Step 1: Write the proportion equation
   89,146 : 195,789 = 195,789 : x
2. Step 2: Convert to fraction form
   89,146/195,789 = 195,789/x
3. Step 3: Cross multiply
   89,146x = 195,789 × 195,789
4. Step 4: Simplify right side
   89,146x = 38,333,332,521
5. Step 5: Solve for x
   x = 38,333,332,521/89,146
6. Step 6: Final answer
   x = 430,006.20