Finding the Third Proportional to 254,096 and 501,764

Step by Step Solution

1. Step 1: Write the proportion equation
   254,096 : 501,764 = 501,764 : x
2. Step 2: Convert to fraction form
   254,096/501,764 = 501,764/x
3. Step 3: Cross multiply
   254,096x = 501,764 × 501,764
4. Step 4: Simplify right side
   254,096x = 251,767,111,696
5. Step 5: Solve for x
   x = 251,767,111,696/254,096
6. Step 6: Final answer
   x = 990,834.61