Finding the Third Proportional to 45,882 and 100,782

Step by Step Solution

1. Step 1: Write the proportion equation
   45,882 : 100,782 = 100,782 : x
2. Step 2: Convert to fraction form
   45,882/100,782 = 100,782/x
3. Step 3: Cross multiply
   45,882x = 100,782 × 100,782
4. Step 4: Simplify right side
   45,882x = 10,157,011,524
5. Step 5: Solve for x
   x = 10,157,011,524/45,882
6. Step 6: Final answer
   x = 221,372.47