Finding the Third Proportional to 123,824 and 188,085

Step by Step Solution

1. Step 1: Write the proportion equation
   123,824 : 188,085 = 188,085 : x
2. Step 2: Convert to fraction form
   123,824/188,085 = 188,085/x
3. Step 3: Cross multiply
   123,824x = 188,085 × 188,085
4. Step 4: Simplify right side
   123,824x = 35,375,967,225
5. Step 5: Solve for x
   x = 35,375,967,225/123,824
6. Step 6: Final answer
   x = 285,695.56