Finding the Third Proportional to 123,995 and 185,512

Step by Step Solution

1. Step 1: Write the proportion equation
   123,995 : 185,512 = 185,512 : x
2. Step 2: Convert to fraction form
   123,995/185,512 = 185,512/x
3. Step 3: Cross multiply
   123,995x = 185,512 × 185,512
4. Step 4: Simplify right side
   123,995x = 34,414,702,144
5. Step 5: Solve for x
   x = 34,414,702,144/123,995
6. Step 6: Final answer
   x = 277,549.11