Finding the Third Proportional to 45,565 and 100,096

Step by Step Solution

1. Step 1: Write the proportion equation
   45,565 : 100,096 = 100,096 : x
2. Step 2: Convert to fraction form
   45,565/100,096 = 100,096/x
3. Step 3: Cross multiply
   45,565x = 100,096 × 100,096
4. Step 4: Simplify right side
   45,565x = 10,019,209,216
5. Step 5: Solve for x
   x = 10,019,209,216/45,565
6. Step 6: Final answer
   x = 219,888.27