Finding the Third Proportional to 107,144 and 161,688

Step by Step Solution

1. Step 1: Write the proportion equation
   107,144 : 161,688 = 161,688 : x
2. Step 2: Convert to fraction form
   107,144/161,688 = 161,688/x
3. Step 3: Cross multiply
   107,144x = 161,688 × 161,688
4. Step 4: Simplify right side
   107,144x = 26,143,009,344
5. Step 5: Solve for x
   x = 26,143,009,344/107,144
6. Step 6: Final answer
   x = 243,998.82