Finding the Third Proportional to 222,912 and 342,144

Step by Step Solution

1. Step 1: Write the proportion equation
   222,912 : 342,144 = 342,144 : x
2. Step 2: Convert to fraction form
   222,912/342,144 = 342,144/x
3. Step 3: Cross multiply
   222,912x = 342,144 × 342,144
4. Step 4: Simplify right side
   222,912x = 117,062,516,736
5. Step 5: Solve for x
   x = 117,062,516,736/222,912
6. Step 6: Final answer
   x = 525,151.26