Finding the Third Proportional to 45,902 and 100,540

Step by Step Solution

1. Step 1: Write the proportion equation
   45,902 : 100,540 = 100,540 : x
2. Step 2: Convert to fraction form
   45,902/100,540 = 100,540/x
3. Step 3: Cross multiply
   45,902x = 100,540 × 100,540
4. Step 4: Simplify right side
   45,902x = 10,108,291,600
5. Step 5: Solve for x
   x = 10,108,291,600/45,902
6. Step 6: Final answer
   x = 220,214.62