Finding the Third Proportional to 72,009 and 168,229

Step by Step Solution

1. Step 1: Write the proportion equation
   72,009 : 168,229 = 168,229 : x
2. Step 2: Convert to fraction form
   72,009/168,229 = 168,229/x
3. Step 3: Cross multiply
   72,009x = 168,229 × 168,229
4. Step 4: Simplify right side
   72,009x = 28,300,996,441
5. Step 5: Solve for x
   x = 28,300,996,441/72,009
6. Step 6: Final answer
   x = 393,020.27