Finding the Third Proportional to 229,628 and 362,046

Step by Step Solution

1. Step 1: Write the proportion equation
   229,628 : 362,046 = 362,046 : x
2. Step 2: Convert to fraction form
   229,628/362,046 = 362,046/x
3. Step 3: Cross multiply
   229,628x = 362,046 × 362,046
4. Step 4: Simplify right side
   229,628x = 131,077,306,116
5. Step 5: Solve for x
   x = 131,077,306,116/229,628
6. Step 6: Final answer
   x = 570,824.58