Finding the Third Proportional to 288,814 and 446,333

Step by Step Solution

1. Step 1: Write the proportion equation
   288,814 : 446,333 = 446,333 : x
2. Step 2: Convert to fraction form
   288,814/446,333 = 446,333/x
3. Step 3: Cross multiply
   288,814x = 446,333 × 446,333
4. Step 4: Simplify right side
   288,814x = 199,213,146,889
5. Step 5: Solve for x
   x = 199,213,146,889/288,814
6. Step 6: Final answer
   x = 689,762.78