Finding the Third Proportional to 123,688 and 186,678

Step by Step Solution

1. Step 1: Write the proportion equation
   123,688 : 186,678 = 186,678 : x
2. Step 2: Convert to fraction form
   123,688/186,678 = 186,678/x
3. Step 3: Cross multiply
   123,688x = 186,678 × 186,678
4. Step 4: Simplify right side
   123,688x = 34,848,675,684
5. Step 5: Solve for x
   x = 34,848,675,684/123,688
6. Step 6: Final answer
   x = 281,746.62