Finding the Third Proportional to 140,748 and 206,506

Step by Step Solution

1. Step 1: Write the proportion equation
   140,748 : 206,506 = 206,506 : x
2. Step 2: Convert to fraction form
   140,748/206,506 = 206,506/x
3. Step 3: Cross multiply
   140,748x = 206,506 × 206,506
4. Step 4: Simplify right side
   140,748x = 42,644,728,036
5. Step 5: Solve for x
   x = 42,644,728,036/140,748
6. Step 6: Final answer
   x = 302,986.39