Finding the Third Proportional to 123,023 and 183,892

Step by Step Solution

1. Step 1: Write the proportion equation
   123,023 : 183,892 = 183,892 : x
2. Step 2: Convert to fraction form
   123,023/183,892 = 183,892/x
3. Step 3: Cross multiply
   123,023x = 183,892 × 183,892
4. Step 4: Simplify right side
   123,023x = 33,816,267,664
5. Step 5: Solve for x
   x = 33,816,267,664/123,023
6. Step 6: Final answer
   x = 274,877.61