Finding the Third Proportional to 72,796 and 157,976

Step by Step Solution

1. Step 1: Write the proportion equation
   72,796 : 157,976 = 157,976 : x
2. Step 2: Convert to fraction form
   72,796/157,976 = 157,976/x
3. Step 3: Cross multiply
   72,796x = 157,976 × 157,976
4. Step 4: Simplify right side
   72,796x = 24,956,416,576
5. Step 5: Solve for x
   x = 24,956,416,576/72,796
6. Step 6: Final answer
   x = 342,826.76