Finding the Third Proportional to 82,124 and 90,764

Step by Step Solution

1. Step 1: Write the proportion equation
   82,124 : 90,764 = 90,764 : x
2. Step 2: Convert to fraction form
   82,124/90,764 = 90,764/x
3. Step 3: Cross multiply
   82,124x = 90,764 × 90,764
4. Step 4: Simplify right side
   82,124x = 8,238,103,696
5. Step 5: Solve for x
   x = 8,238,103,696/82,124
6. Step 6: Final answer
   x = 100,312.99