Finding the Third Proportional to 45,878 and 100,498

Step by Step Solution

1. Step 1: Write the proportion equation
   45,878 : 100,498 = 100,498 : x
2. Step 2: Convert to fraction form
   45,878/100,498 = 100,498/x
3. Step 3: Cross multiply
   45,878x = 100,498 × 100,498
4. Step 4: Simplify right side
   45,878x = 10,099,848,004
5. Step 5: Solve for x
   x = 10,099,848,004/45,878
6. Step 6: Final answer
   x = 220,145.78