Finding the Third Proportional to 22,802 and 56,234

Step by Step Solution

1. Step 1: Write the proportion equation
   22,802 : 56,234 = 56,234 : x
2. Step 2: Convert to fraction form
   22,802/56,234 = 56,234/x
3. Step 3: Cross multiply
   22,802x = 56,234 × 56,234
4. Step 4: Simplify right side
   22,802x = 3,162,262,756
5. Step 5: Solve for x
   x = 3,162,262,756/22,802
6. Step 6: Final answer
   x = 138,683.57