Finding the Third Proportional to 123,789 and 186,866

Step by Step Solution

1. Step 1: Write the proportion equation
   123,789 : 186,866 = 186,866 : x
2. Step 2: Convert to fraction form
   123,789/186,866 = 186,866/x
3. Step 3: Cross multiply
   123,789x = 186,866 × 186,866
4. Step 4: Simplify right side
   123,789x = 34,918,901,956
5. Step 5: Solve for x
   x = 34,918,901,956/123,789
6. Step 6: Final answer
   x = 282,084.05