Finding the Third Proportional to 123,462 and 186,921

Step by Step Solution

1. Step 1: Write the proportion equation
   123,462 : 186,921 = 186,921 : x
2. Step 2: Convert to fraction form
   123,462/186,921 = 186,921/x
3. Step 3: Cross multiply
   123,462x = 186,921 × 186,921
4. Step 4: Simplify right side
   123,462x = 34,939,460,241
5. Step 5: Solve for x
   x = 34,939,460,241/123,462
6. Step 6: Final answer
   x = 282,997.69