Finding the Third Proportional to 302,844 and 470,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,844 : 470,257.50 = 470,257.50 : x
2. Step 2: Convert to fraction form
   302,844/470,257.50 = 470,257.50/x
3. Step 3: Cross multiply
   302,844x = 470,257.50 × 470,257.50
4. Step 4: Simplify right side
   302,844x = 221,142,116,306.25
5. Step 5: Solve for x
   x = 221,142,116,306.25/302,844
6. Step 6: Final answer
   x = 730,217.92