Finding the Third Proportional to 45,909 and 100,242

Step by Step Solution

1. Step 1: Write the proportion equation
   45,909 : 100,242 = 100,242 : x
2. Step 2: Convert to fraction form
   45,909/100,242 = 100,242/x
3. Step 3: Cross multiply
   45,909x = 100,242 × 100,242
4. Step 4: Simplify right side
   45,909x = 10,048,458,564
5. Step 5: Solve for x
   x = 10,048,458,564/45,909
6. Step 6: Final answer
   x = 218,877.75