Finding the Third Proportional to 174,557 and 222,145

Step by Step Solution

1. Step 1: Write the proportion equation
   174,557 : 222,145 = 222,145 : x
2. Step 2: Convert to fraction form
   174,557/222,145 = 222,145/x
3. Step 3: Cross multiply
   174,557x = 222,145 × 222,145
4. Step 4: Simplify right side
   174,557x = 49,348,401,025
5. Step 5: Solve for x
   x = 49,348,401,025/174,557
6. Step 6: Final answer
   x = 282,706.51