Finding the Third Proportional to 233,844 and 505,002

Step by Step Solution

1. Step 1: Write the proportion equation
   233,844 : 505,002 = 505,002 : x
2. Step 2: Convert to fraction form
   233,844/505,002 = 505,002/x
3. Step 3: Cross multiply
   233,844x = 505,002 × 505,002
4. Step 4: Simplify right side
   233,844x = 255,027,020,004
5. Step 5: Solve for x
   x = 255,027,020,004/233,844
6. Step 6: Final answer
   x = 1,090,586.12