Finding the Third Proportional to 95,688 and 144,396

Step by Step Solution

1. Step 1: Write the proportion equation
   95,688 : 144,396 = 144,396 : x
2. Step 2: Convert to fraction form
   95,688/144,396 = 144,396/x
3. Step 3: Cross multiply
   95,688x = 144,396 × 144,396
4. Step 4: Simplify right side
   95,688x = 20,850,204,816
5. Step 5: Solve for x
   x = 20,850,204,816/95,688
6. Step 6: Final answer
   x = 217,897.80