Finding the Third Proportional to 72,496 and 153,696

Step by Step Solution

1. Step 1: Write the proportion equation
   72,496 : 153,696 = 153,696 : x
2. Step 2: Convert to fraction form
   72,496/153,696 = 153,696/x
3. Step 3: Cross multiply
   72,496x = 153,696 × 153,696
4. Step 4: Simplify right side
   72,496x = 23,622,460,416
5. Step 5: Solve for x
   x = 23,622,460,416/72,496
6. Step 6: Final answer
   x = 325,845.02