Finding the Third Proportional to 90,778 and 100,984

Step by Step Solution

1. Step 1: Write the proportion equation
   90,778 : 100,984 = 100,984 : x
2. Step 2: Convert to fraction form
   90,778/100,984 = 100,984/x
3. Step 3: Cross multiply
   90,778x = 100,984 × 100,984
4. Step 4: Simplify right side
   90,778x = 10,197,768,256
5. Step 5: Solve for x
   x = 10,197,768,256/90,778
6. Step 6: Final answer
   x = 112,337.44