Finding the Third Proportional to 72,096 and 157,696

Step by Step Solution

1. Step 1: Write the proportion equation
   72,096 : 157,696 = 157,696 : x
2. Step 2: Convert to fraction form
   72,096/157,696 = 157,696/x
3. Step 3: Cross multiply
   72,096x = 157,696 × 157,696
4. Step 4: Simplify right side
   72,096x = 24,868,028,416
5. Step 5: Solve for x
   x = 24,868,028,416/72,096
6. Step 6: Final answer
   x = 344,929.38