Finding the Third Proportional to 254,082 and 501,786

Step by Step Solution

1. Step 1: Write the proportion equation
   254,082 : 501,786 = 501,786 : x
2. Step 2: Convert to fraction form
   254,082/501,786 = 501,786/x
3. Step 3: Cross multiply
   254,082x = 501,786 × 501,786
4. Step 4: Simplify right side
   254,082x = 251,789,189,796
5. Step 5: Solve for x
   x = 251,789,189,796/254,082
6. Step 6: Final answer
   x = 990,976.10