Finding the Third Proportional to 72,824 and 158,104

Step by Step Solution

1. Step 1: Write the proportion equation
   72,824 : 158,104 = 158,104 : x
2. Step 2: Convert to fraction form
   72,824/158,104 = 158,104/x
3. Step 3: Cross multiply
   72,824x = 158,104 × 158,104
4. Step 4: Simplify right side
   72,824x = 24,996,874,816
5. Step 5: Solve for x
   x = 24,996,874,816/72,824
6. Step 6: Final answer
   x = 343,250.51