Finding the Third Proportional to 288,223 and 460,443

Step by Step Solution

1. Step 1: Write the proportion equation
   288,223 : 460,443 = 460,443 : x
2. Step 2: Convert to fraction form
   288,223/460,443 = 460,443/x
3. Step 3: Cross multiply
   288,223x = 460,443 × 460,443
4. Step 4: Simplify right side
   288,223x = 212,007,756,249
5. Step 5: Solve for x
   x = 212,007,756,249/288,223
6. Step 6: Final answer
   x = 735,568.49