Finding the Third Proportional to 123,296 and 185,652

Step by Step Solution

1. Step 1: Write the proportion equation
   123,296 : 185,652 = 185,652 : x
2. Step 2: Convert to fraction form
   123,296/185,652 = 185,652/x
3. Step 3: Cross multiply
   123,296x = 185,652 × 185,652
4. Step 4: Simplify right side
   123,296x = 34,466,665,104
5. Step 5: Solve for x
   x = 34,466,665,104/123,296
6. Step 6: Final answer
   x = 279,544.07