Finding the Third Proportional to 22,178 and 52,325

Step by Step Solution

1. Step 1: Write the proportion equation
   22,178 : 52,325 = 52,325 : x
2. Step 2: Convert to fraction form
   22,178/52,325 = 52,325/x
3. Step 3: Cross multiply
   22,178x = 52,325 × 52,325
4. Step 4: Simplify right side
   22,178x = 2,737,905,625
5. Step 5: Solve for x
   x = 2,737,905,625/22,178
6. Step 6: Final answer
   x = 123,451.42