Finding the Third Proportional to 123,041 and 188,625

Step by Step Solution

1. Step 1: Write the proportion equation
   123,041 : 188,625 = 188,625 : x
2. Step 2: Convert to fraction form
   123,041/188,625 = 188,625/x
3. Step 3: Cross multiply
   123,041x = 188,625 × 188,625
4. Step 4: Simplify right side
   123,041x = 35,579,390,625
5. Step 5: Solve for x
   x = 35,579,390,625/123,041
6. Step 6: Final answer
   x = 289,166.95