Finding the Third Proportional to 90,774 and 100,980

Step by Step Solution

1. Step 1: Write the proportion equation
   90,774 : 100,980 = 100,980 : x
2. Step 2: Convert to fraction form
   90,774/100,980 = 100,980/x
3. Step 3: Cross multiply
   90,774x = 100,980 × 100,980
4. Step 4: Simplify right side
   90,774x = 10,196,960,400
5. Step 5: Solve for x
   x = 10,196,960,400/90,774
6. Step 6: Final answer
   x = 112,333.49