Finding the Third Proportional to 302,976 and 470,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,976 : 470,461.50 = 470,461.50 : x
2. Step 2: Convert to fraction form
   302,976/470,461.50 = 470,461.50/x
3. Step 3: Cross multiply
   302,976x = 470,461.50 × 470,461.50
4. Step 4: Simplify right side
   302,976x = 221,334,022,982.25
5. Step 5: Solve for x
   x = 221,334,022,982.25/302,976
6. Step 6: Final answer
   x = 730,533.19