Finding the Third Proportional to 78,464 and 161,059

Step by Step Solution

1. Step 1: Write the proportion equation
   78,464 : 161,059 = 161,059 : x
2. Step 2: Convert to fraction form
   78,464/161,059 = 161,059/x
3. Step 3: Cross multiply
   78,464x = 161,059 × 161,059
4. Step 4: Simplify right side
   78,464x = 25,940,001,481
5. Step 5: Solve for x
   x = 25,940,001,481/78,464
6. Step 6: Final answer
   x = 330,597.49