Finding the Third Proportional to 72,007 and 168,224

Step by Step Solution

1. Step 1: Write the proportion equation
   72,007 : 168,224 = 168,224 : x
2. Step 2: Convert to fraction form
   72,007/168,224 = 168,224/x
3. Step 3: Cross multiply
   72,007x = 168,224 × 168,224
4. Step 4: Simplify right side
   72,007x = 28,299,314,176
5. Step 5: Solve for x
   x = 28,299,314,176/72,007
6. Step 6: Final answer
   x = 393,007.82