Finding the Third Proportional to 123,444 and 186,897

Step by Step Solution

1. Step 1: Write the proportion equation
   123,444 : 186,897 = 186,897 : x
2. Step 2: Convert to fraction form
   123,444/186,897 = 186,897/x
3. Step 3: Cross multiply
   123,444x = 186,897 × 186,897
4. Step 4: Simplify right side
   123,444x = 34,930,488,609
5. Step 5: Solve for x
   x = 34,930,488,609/123,444
6. Step 6: Final answer
   x = 282,966.27