Finding the Third Proportional to 140,538 and 304,590

Step by Step Solution

1. Step 1: Write the proportion equation
   140,538 : 304,590 = 304,590 : x
2. Step 2: Convert to fraction form
   140,538/304,590 = 304,590/x
3. Step 3: Cross multiply
   140,538x = 304,590 × 304,590
4. Step 4: Simplify right side
   140,538x = 92,775,068,100
5. Step 5: Solve for x
   x = 92,775,068,100/140,538
6. Step 6: Final answer
   x = 660,142.23