Finding the Third Proportional to 142,466 and 225,590

Step by Step Solution

1. Step 1: Write the proportion equation
   142,466 : 225,590 = 225,590 : x
2. Step 2: Convert to fraction form
   142,466/225,590 = 225,590/x
3. Step 3: Cross multiply
   142,466x = 225,590 × 225,590
4. Step 4: Simplify right side
   142,466x = 50,890,848,100
5. Step 5: Solve for x
   x = 50,890,848,100/142,466
6. Step 6: Final answer
   x = 357,213.99