Finding the Third Proportional to 78,204 and 171,959

Step by Step Solution

1. Step 1: Write the proportion equation
   78,204 : 171,959 = 171,959 : x
2. Step 2: Convert to fraction form
   78,204/171,959 = 171,959/x
3. Step 3: Cross multiply
   78,204x = 171,959 × 171,959
4. Step 4: Simplify right side
   78,204x = 29,569,897,681
5. Step 5: Solve for x
   x = 29,569,897,681/78,204
6. Step 6: Final answer
   x = 378,112.34