Finding the Third Proportional to 81,978 and 123,043

Step by Step Solution

1. Step 1: Write the proportion equation
   81,978 : 123,043 = 123,043 : x
2. Step 2: Convert to fraction form
   81,978/123,043 = 123,043/x
3. Step 3: Cross multiply
   81,978x = 123,043 × 123,043
4. Step 4: Simplify right side
   81,978x = 15,139,579,849
5. Step 5: Solve for x
   x = 15,139,579,849/81,978
6. Step 6: Final answer
   x = 184,678.57