Finding the Third Proportional to 295,234 and 470,002

Step by Step Solution

1. Step 1: Write the proportion equation
   295,234 : 470,002 = 470,002 : x
2. Step 2: Convert to fraction form
   295,234/470,002 = 470,002/x
3. Step 3: Cross multiply
   295,234x = 470,002 × 470,002
4. Step 4: Simplify right side
   295,234x = 220,901,880,004
5. Step 5: Solve for x
   x = 220,901,880,004/295,234
6. Step 6: Final answer
   x = 748,226.42