Finding the Third Proportional to 229,426 and 492,077

Step by Step Solution

1. Step 1: Write the proportion equation
   229,426 : 492,077 = 492,077 : x
2. Step 2: Convert to fraction form
   229,426/492,077 = 492,077/x
3. Step 3: Cross multiply
   229,426x = 492,077 × 492,077
4. Step 4: Simplify right side
   229,426x = 242,139,773,929
5. Step 5: Solve for x
   x = 242,139,773,929/229,426
6. Step 6: Final answer
   x = 1,055,415.58