Finding the Third Proportional to 72,802 and 158,424

Step by Step Solution

1. Step 1: Write the proportion equation
   72,802 : 158,424 = 158,424 : x
2. Step 2: Convert to fraction form
   72,802/158,424 = 158,424/x
3. Step 3: Cross multiply
   72,802x = 158,424 × 158,424
4. Step 4: Simplify right side
   72,802x = 25,098,163,776
5. Step 5: Solve for x
   x = 25,098,163,776/72,802
6. Step 6: Final answer
   x = 344,745.53