Finding the Third Proportional to 22,540 and 52,178

Step by Step Solution

1. Step 1: Write the proportion equation
   22,540 : 52,178 = 52,178 : x
2. Step 2: Convert to fraction form
   22,540/52,178 = 52,178/x
3. Step 3: Cross multiply
   22,540x = 52,178 × 52,178
4. Step 4: Simplify right side
   22,540x = 2,722,543,684
5. Step 5: Solve for x
   x = 2,722,543,684/22,540
6. Step 6: Final answer
   x = 120,787.21