Finding the Third Proportional to 45,996 and 100,416

Step by Step Solution

1. Step 1: Write the proportion equation
   45,996 : 100,416 = 100,416 : x
2. Step 2: Convert to fraction form
   45,996/100,416 = 100,416/x
3. Step 3: Cross multiply
   45,996x = 100,416 × 100,416
4. Step 4: Simplify right side
   45,996x = 10,083,373,056
5. Step 5: Solve for x
   x = 10,083,373,056/45,996
6. Step 6: Final answer
   x = 219,222.82