Finding the Third Proportional to 72,464 and 153,656

Step by Step Solution

1. Step 1: Write the proportion equation
   72,464 : 153,656 = 153,656 : x
2. Step 2: Convert to fraction form
   72,464/153,656 = 153,656/x
3. Step 3: Cross multiply
   72,464x = 153,656 × 153,656
4. Step 4: Simplify right side
   72,464x = 23,610,166,336
5. Step 5: Solve for x
   x = 23,610,166,336/72,464
6. Step 6: Final answer
   x = 325,819.25