Finding the Third Proportional to 95,744 and 146,208

Step by Step Solution

1. Step 1: Write the proportion equation
   95,744 : 146,208 = 146,208 : x
2. Step 2: Convert to fraction form
   95,744/146,208 = 146,208/x
3. Step 3: Cross multiply
   95,744x = 146,208 × 146,208
4. Step 4: Simplify right side
   95,744x = 21,376,779,264
5. Step 5: Solve for x
   x = 21,376,779,264/95,744
6. Step 6: Final answer
   x = 223,270.17