Finding the Third Proportional to 302,945 and 469,064

Step by Step Solution

1. Step 1: Write the proportion equation
   302,945 : 469,064 = 469,064 : x
2. Step 2: Convert to fraction form
   302,945/469,064 = 469,064/x
3. Step 3: Cross multiply
   302,945x = 469,064 × 469,064
4. Step 4: Simplify right side
   302,945x = 220,021,036,096
5. Step 5: Solve for x
   x = 220,021,036,096/302,945
6. Step 6: Final answer
   x = 726,273.87