Finding the Third Proportional to 338,264 and 743,488

Step by Step Solution

1. Step 1: Write the proportion equation
   338,264 : 743,488 = 743,488 : x
2. Step 2: Convert to fraction form
   338,264/743,488 = 743,488/x
3. Step 3: Cross multiply
   338,264x = 743,488 × 743,488
4. Step 4: Simplify right side
   338,264x = 552,774,406,144
5. Step 5: Solve for x
   x = 552,774,406,144/338,264
6. Step 6: Final answer
   x = 1,634,150.86