Finding the Third Proportional to 302,838 and 470,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,838 : 470,233.50 = 470,233.50 : x
2. Step 2: Convert to fraction form
   302,838/470,233.50 = 470,233.50/x
3. Step 3: Cross multiply
   302,838x = 470,233.50 × 470,233.50
4. Step 4: Simplify right side
   302,838x = 221,119,544,522.25
5. Step 5: Solve for x
   x = 221,119,544,522.25/302,838
6. Step 6: Final answer
   x = 730,157.86