Finding the Third Proportional to 72,796 and 158,412

Step by Step Solution

1. Step 1: Write the proportion equation
   72,796 : 158,412 = 158,412 : x
2. Step 2: Convert to fraction form
   72,796/158,412 = 158,412/x
3. Step 3: Cross multiply
   72,796x = 158,412 × 158,412
4. Step 4: Simplify right side
   72,796x = 25,094,361,744
5. Step 5: Solve for x
   x = 25,094,361,744/72,796
6. Step 6: Final answer
   x = 344,721.71