Finding the Third Proportional to 323,338 and 705,412

Step by Step Solution

1. Step 1: Write the proportion equation
   323,338 : 705,412 = 705,412 : x
2. Step 2: Convert to fraction form
   323,338/705,412 = 705,412/x
3. Step 3: Cross multiply
   323,338x = 705,412 × 705,412
4. Step 4: Simplify right side
   323,338x = 497,606,089,744
5. Step 5: Solve for x
   x = 497,606,089,744/323,338
6. Step 6: Final answer
   x = 1,538,965.69