Finding the Third Proportional to 123,631 and 186,023

Step by Step Solution

1. Step 1: Write the proportion equation
   123,631 : 186,023 = 186,023 : x
2. Step 2: Convert to fraction form
   123,631/186,023 = 186,023/x
3. Step 3: Cross multiply
   123,631x = 186,023 × 186,023
4. Step 4: Simplify right side
   123,631x = 34,604,556,529
5. Step 5: Solve for x
   x = 34,604,556,529/123,631
6. Step 6: Final answer
   x = 279,901.94