Finding the Third Proportional to 82,134 and 90,774

Step by Step Solution

1. Step 1: Write the proportion equation
   82,134 : 90,774 = 90,774 : x
2. Step 2: Convert to fraction form
   82,134/90,774 = 90,774/x
3. Step 3: Cross multiply
   82,134x = 90,774 × 90,774
4. Step 4: Simplify right side
   82,134x = 8,239,919,076
5. Step 5: Solve for x
   x = 8,239,919,076/82,134
6. Step 6: Final answer
   x = 100,322.88