Finding the Third Proportional to 302,883 and 470,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,883 : 470,329.50 = 470,329.50 : x
2. Step 2: Convert to fraction form
   302,883/470,329.50 = 470,329.50/x
3. Step 3: Cross multiply
   302,883x = 470,329.50 × 470,329.50
4. Step 4: Simplify right side
   302,883x = 221,209,838,570.25
5. Step 5: Solve for x
   x = 221,209,838,570.25/302,883
6. Step 6: Final answer
   x = 730,347.49