Finding the Third Proportional to 123,578 and 188,829

Step by Step Solution

1. Step 1: Write the proportion equation
   123,578 : 188,829 = 188,829 : x
2. Step 2: Convert to fraction form
   123,578/188,829 = 188,829/x
3. Step 3: Cross multiply
   123,578x = 188,829 × 188,829
4. Step 4: Simplify right side
   123,578x = 35,656,391,241
5. Step 5: Solve for x
   x = 35,656,391,241/123,578
6. Step 6: Final answer
   x = 288,533.49