Finding the Third Proportional to 45,638 and 98,092

Step by Step Solution

1. Step 1: Write the proportion equation
   45,638 : 98,092 = 98,092 : x
2. Step 2: Convert to fraction form
   45,638/98,092 = 98,092/x
3. Step 3: Cross multiply
   45,638x = 98,092 × 98,092
4. Step 4: Simplify right side
   45,638x = 9,622,040,464
5. Step 5: Solve for x
   x = 9,622,040,464/45,638
6. Step 6: Final answer
   x = 210,833.96