Finding the Third Proportional to 45,298 and 98,824

Step by Step Solution

1. Step 1: Write the proportion equation
   45,298 : 98,824 = 98,824 : x
2. Step 2: Convert to fraction form
   45,298/98,824 = 98,824/x
3. Step 3: Cross multiply
   45,298x = 98,824 × 98,824
4. Step 4: Simplify right side
   45,298x = 9,766,182,976
5. Step 5: Solve for x
   x = 9,766,182,976/45,298
6. Step 6: Final answer
   x = 215,598.55