Finding the Third Proportional to 302,811 and 470,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,811 : 470,212.50 = 470,212.50 : x
2. Step 2: Convert to fraction form
   302,811/470,212.50 = 470,212.50/x
3. Step 3: Cross multiply
   302,811x = 470,212.50 × 470,212.50
4. Step 4: Simplify right side
   302,811x = 221,099,795,156.25
5. Step 5: Solve for x
   x = 221,099,795,156.25/302,811
6. Step 6: Final answer
   x = 730,157.74