Finding the Third Proportional to 78,279 and 167,628

Step by Step Solution

1. Step 1: Write the proportion equation
   78,279 : 167,628 = 167,628 : x
2. Step 2: Convert to fraction form
   78,279/167,628 = 167,628/x
3. Step 3: Cross multiply
   78,279x = 167,628 × 167,628
4. Step 4: Simplify right side
   78,279x = 28,099,146,384
5. Step 5: Solve for x
   x = 28,099,146,384/78,279
6. Step 6: Final answer
   x = 358,961.49