Finding the Third Proportional to 72,256 and 153,259

Step by Step Solution

1. Step 1: Write the proportion equation
   72,256 : 153,259 = 153,259 : x
2. Step 2: Convert to fraction form
   72,256/153,259 = 153,259/x
3. Step 3: Cross multiply
   72,256x = 153,259 × 153,259
4. Step 4: Simplify right side
   72,256x = 23,488,321,081
5. Step 5: Solve for x
   x = 23,488,321,081/72,256
6. Step 6: Final answer
   x = 325,070.87