Finding the Third Proportional to 294,456 and 467,012

Step by Step Solution

1. Step 1: Write the proportion equation
   294,456 : 467,012 = 467,012 : x
2. Step 2: Convert to fraction form
   294,456/467,012 = 467,012/x
3. Step 3: Cross multiply
   294,456x = 467,012 × 467,012
4. Step 4: Simplify right side
   294,456x = 218,100,208,144
5. Step 5: Solve for x
   x = 218,100,208,144/294,456
6. Step 6: Final answer
   x = 740,688.62