Finding the Third Proportional to 140,306 and 290,590

Step by Step Solution

1. Step 1: Write the proportion equation
   140,306 : 290,590 = 290,590 : x
2. Step 2: Convert to fraction form
   140,306/290,590 = 290,590/x
3. Step 3: Cross multiply
   140,306x = 290,590 × 290,590
4. Step 4: Simplify right side
   140,306x = 84,442,548,100
5. Step 5: Solve for x
   x = 84,442,548,100/140,306
6. Step 6: Final answer
   x = 601,845.60