Finding the Third Proportional to 78,576 and 161,688

Step by Step Solution

1. Step 1: Write the proportion equation
   78,576 : 161,688 = 161,688 : x
2. Step 2: Convert to fraction form
   78,576/161,688 = 161,688/x
3. Step 3: Cross multiply
   78,576x = 161,688 × 161,688
4. Step 4: Simplify right side
   78,576x = 26,143,009,344
5. Step 5: Solve for x
   x = 26,143,009,344/78,576
6. Step 6: Final answer
   x = 332,709.85