Finding the Third Proportional to 302,775 and 470,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,775 : 470,158.50 = 470,158.50 : x
2. Step 2: Convert to fraction form
   302,775/470,158.50 = 470,158.50/x
3. Step 3: Cross multiply
   302,775x = 470,158.50 × 470,158.50
4. Step 4: Simplify right side
   302,775x = 221,049,015,122.25
5. Step 5: Solve for x
   x = 221,049,015,122.25/302,775
6. Step 6: Final answer
   x = 730,076.84