Finding the Third Proportional to 149,456 and 323,333

Step by Step Solution

1. Step 1: Write the proportion equation
   149,456 : 323,333 = 323,333 : x
2. Step 2: Convert to fraction form
   149,456/323,333 = 323,333/x
3. Step 3: Cross multiply
   149,456x = 323,333 × 323,333
4. Step 4: Simplify right side
   149,456x = 104,544,228,889
5. Step 5: Solve for x
   x = 104,544,228,889/149,456
6. Step 6: Final answer
   x = 699,498.37