Finding the Third Proportional to 99,820 and 158,744

Step by Step Solution

1. Step 1: Write the proportion equation
   99,820 : 158,744 = 158,744 : x
2. Step 2: Convert to fraction form
   99,820/158,744 = 158,744/x
3. Step 3: Cross multiply
   99,820x = 158,744 × 158,744
4. Step 4: Simplify right side
   99,820x = 25,199,657,536
5. Step 5: Solve for x
   x = 25,199,657,536/99,820
6. Step 6: Final answer
   x = 252,450.99