Finding the Third Proportional to 58,638 and 90,824

Step by Step Solution

1. Step 1: Write the proportion equation
   58,638 : 90,824 = 90,824 : x
2. Step 2: Convert to fraction form
   58,638/90,824 = 90,824/x
3. Step 3: Cross multiply
   58,638x = 90,824 × 90,824
4. Step 4: Simplify right side
   58,638x = 8,248,998,976
5. Step 5: Solve for x
   x = 8,248,998,976/58,638
6. Step 6: Final answer
   x = 140,676.68