Finding the Third Proportional to 140,636 and 297,598

Step by Step Solution

1. Step 1: Write the proportion equation
   140,636 : 297,598 = 297,598 : x
2. Step 2: Convert to fraction form
   140,636/297,598 = 297,598/x
3. Step 3: Cross multiply
   140,636x = 297,598 × 297,598
4. Step 4: Simplify right side
   140,636x = 88,564,569,604
5. Step 5: Solve for x
   x = 88,564,569,604/140,636
6. Step 6: Final answer
   x = 629,743.24