Finding the Third Proportional to 72,644 and 153,176

Step by Step Solution

1. Step 1: Write the proportion equation
   72,644 : 153,176 = 153,176 : x
2. Step 2: Convert to fraction form
   72,644/153,176 = 153,176/x
3. Step 3: Cross multiply
   72,644x = 153,176 × 153,176
4. Step 4: Simplify right side
   72,644x = 23,462,886,976
5. Step 5: Solve for x
   x = 23,462,886,976/72,644
6. Step 6: Final answer
   x = 322,984.51