Finding the Third Proportional to 222,936 and 342,180

Step by Step Solution

1. Step 1: Write the proportion equation
   222,936 : 342,180 = 342,180 : x
2. Step 2: Convert to fraction form
   222,936/342,180 = 342,180/x
3. Step 3: Cross multiply
   222,936x = 342,180 × 342,180
4. Step 4: Simplify right side
   222,936x = 117,087,152,400
5. Step 5: Solve for x
   x = 117,087,152,400/222,936
6. Step 6: Final answer
   x = 525,205.23