Finding the Third Proportional to 302,970 and 470,452.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,970 : 470,452.50 = 470,452.50 : x
2. Step 2: Convert to fraction form
   302,970/470,452.50 = 470,452.50/x
3. Step 3: Cross multiply
   302,970x = 470,452.50 × 470,452.50
4. Step 4: Simplify right side
   302,970x = 221,325,554,756.25
5. Step 5: Solve for x
   x = 221,325,554,756.25/302,970
6. Step 6: Final answer
   x = 730,519.70