Finding the Third Proportional to 229,580 and 496,054

Step by Step Solution

1. Step 1: Write the proportion equation
   229,580 : 496,054 = 496,054 : x
2. Step 2: Convert to fraction form
   229,580/496,054 = 496,054/x
3. Step 3: Cross multiply
   229,580x = 496,054 × 496,054
4. Step 4: Simplify right side
   229,580x = 246,069,570,916
5. Step 5: Solve for x
   x = 246,069,570,916/229,580
6. Step 6: Final answer
   x = 1,071,824.95