Finding the Third Proportional to 140,740 and 206,494

Step by Step Solution

1. Step 1: Write the proportion equation
   140,740 : 206,494 = 206,494 : x
2. Step 2: Convert to fraction form
   140,740/206,494 = 206,494/x
3. Step 3: Cross multiply
   140,740x = 206,494 × 206,494
4. Step 4: Simplify right side
   140,740x = 42,639,772,036
5. Step 5: Solve for x
   x = 42,639,772,036/140,740
6. Step 6: Final answer
   x = 302,968.40