Finding the Third Proportional to 123,778 and 188,743

Step by Step Solution

1. Step 1: Write the proportion equation
   123,778 : 188,743 = 188,743 : x
2. Step 2: Convert to fraction form
   123,778/188,743 = 188,743/x
3. Step 3: Cross multiply
   123,778x = 188,743 × 188,743
4. Step 4: Simplify right side
   123,778x = 35,623,920,049
5. Step 5: Solve for x
   x = 35,623,920,049/123,778
6. Step 6: Final answer
   x = 287,804.94