Finding the Third Proportional to 309,752 and 470,520

Step by Step Solution

1. Step 1: Write the proportion equation
   309,752 : 470,520 = 470,520 : x
2. Step 2: Convert to fraction form
   309,752/470,520 = 470,520/x
3. Step 3: Cross multiply
   309,752x = 470,520 × 470,520
4. Step 4: Simplify right side
   309,752x = 221,389,070,400
5. Step 5: Solve for x
   x = 221,389,070,400/309,752
6. Step 6: Final answer
   x = 714,730.08