Finding the Third Proportional to 78,306 and 172,164

Step by Step Solution

1. Step 1: Write the proportion equation
   78,306 : 172,164 = 172,164 : x
2. Step 2: Convert to fraction form
   78,306/172,164 = 172,164/x
3. Step 3: Cross multiply
   78,306x = 172,164 × 172,164
4. Step 4: Simplify right side
   78,306x = 29,640,442,896
5. Step 5: Solve for x
   x = 29,640,442,896/78,306
6. Step 6: Final answer
   x = 378,520.71