Finding the Third Proportional to 123,165 and 185,643

Step by Step Solution

1. Step 1: Write the proportion equation
   123,165 : 185,643 = 185,643 : x
2. Step 2: Convert to fraction form
   123,165/185,643 = 185,643/x
3. Step 3: Cross multiply
   123,165x = 185,643 × 185,643
4. Step 4: Simplify right side
   123,165x = 34,463,323,449
5. Step 5: Solve for x
   x = 34,463,323,449/123,165
6. Step 6: Final answer
   x = 279,814.26