Finding the Third Proportional to 95,698 and 146,895

Step by Step Solution

1. Step 1: Write the proportion equation
   95,698 : 146,895 = 146,895 : x
2. Step 2: Convert to fraction form
   95,698/146,895 = 146,895/x
3. Step 3: Cross multiply
   95,698x = 146,895 × 146,895
4. Step 4: Simplify right side
   95,698x = 21,578,141,025
5. Step 5: Solve for x
   x = 21,578,141,025/95,698
6. Step 6: Final answer
   x = 225,481.63