Finding the Third Proportional to 45,857 and 100,462

Step by Step Solution

1. Step 1: Write the proportion equation
   45,857 : 100,462 = 100,462 : x
2. Step 2: Convert to fraction form
   45,857/100,462 = 100,462/x
3. Step 3: Cross multiply
   45,857x = 100,462 × 100,462
4. Step 4: Simplify right side
   45,857x = 10,092,613,444
5. Step 5: Solve for x
   x = 10,092,613,444/45,857
6. Step 6: Final answer
   x = 220,088.83