Finding the Third Proportional to 58,694 and 123,866

Step by Step Solution

1. Step 1: Write the proportion equation
   58,694 : 123,866 = 123,866 : x
2. Step 2: Convert to fraction form
   58,694/123,866 = 123,866/x
3. Step 3: Cross multiply
   58,694x = 123,866 × 123,866
4. Step 4: Simplify right side
   58,694x = 15,342,785,956
5. Step 5: Solve for x
   x = 15,342,785,956/58,694
6. Step 6: Final answer
   x = 261,402.97