Finding the Third Proportional to 45,816 and 100,524

Step by Step Solution

1. Step 1: Write the proportion equation
   45,816 : 100,524 = 100,524 : x
2. Step 2: Convert to fraction form
   45,816/100,524 = 100,524/x
3. Step 3: Cross multiply
   45,816x = 100,524 × 100,524
4. Step 4: Simplify right side
   45,816x = 10,105,074,576
5. Step 5: Solve for x
   x = 10,105,074,576/45,816
6. Step 6: Final answer
   x = 220,557.77