Finding the Third Proportional to 222,916 and 342,150

Step by Step Solution

1. Step 1: Write the proportion equation
   222,916 : 342,150 = 342,150 : x
2. Step 2: Convert to fraction form
   222,916/342,150 = 342,150/x
3. Step 3: Cross multiply
   222,916x = 342,150 × 342,150
4. Step 4: Simplify right side
   222,916x = 117,066,622,500
5. Step 5: Solve for x
   x = 117,066,622,500/222,916
6. Step 6: Final answer
   x = 525,160.25