Finding the Third Proportional to 140,496 and 268,032

Step by Step Solution

1. Step 1: Write the proportion equation
   140,496 : 268,032 = 268,032 : x
2. Step 2: Convert to fraction form
   140,496/268,032 = 268,032/x
3. Step 3: Cross multiply
   140,496x = 268,032 × 268,032
4. Step 4: Simplify right side
   140,496x = 71,841,153,024
5. Step 5: Solve for x
   x = 71,841,153,024/140,496
6. Step 6: Final answer
   x = 511,339.49