Finding the Third Proportional to 123,688 and 186,676

Step by Step Solution

1. Step 1: Write the proportion equation
   123,688 : 186,676 = 186,676 : x
2. Step 2: Convert to fraction form
   123,688/186,676 = 186,676/x
3. Step 3: Cross multiply
   123,688x = 186,676 × 186,676
4. Step 4: Simplify right side
   123,688x = 34,847,928,976
5. Step 5: Solve for x
   x = 34,847,928,976/123,688
6. Step 6: Final answer
   x = 281,740.58