Finding the Third Proportional to 95,696 and 146,892

Step by Step Solution

1. Step 1: Write the proportion equation
   95,696 : 146,892 = 146,892 : x
2. Step 2: Convert to fraction form
   95,696/146,892 = 146,892/x
3. Step 3: Cross multiply
   95,696x = 146,892 × 146,892
4. Step 4: Simplify right side
   95,696x = 21,577,259,664
5. Step 5: Solve for x
   x = 21,577,259,664/95,696
6. Step 6: Final answer
   x = 225,477.13