Finding the Third Proportional to 302,964 and 470,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,964 : 470,416.50 = 470,416.50 : x
2. Step 2: Convert to fraction form
   302,964/470,416.50 = 470,416.50/x
3. Step 3: Cross multiply
   302,964x = 470,416.50 × 470,416.50
4. Step 4: Simplify right side
   302,964x = 221,291,683,472.25
5. Step 5: Solve for x
   x = 221,291,683,472.25/302,964
6. Step 6: Final answer
   x = 730,422.37