Finding the Third Proportional to 123,588 and 288,045

Step by Step Solution

1. Step 1: Write the proportion equation
   123,588 : 288,045 = 288,045 : x
2. Step 2: Convert to fraction form
   123,588/288,045 = 288,045/x
3. Step 3: Cross multiply
   123,588x = 288,045 × 288,045
4. Step 4: Simplify right side
   123,588x = 82,969,922,025
5. Step 5: Solve for x
   x = 82,969,922,025/123,588
6. Step 6: Final answer
   x = 671,342.87