Finding the Third Proportional to 140,637 and 187,866

Step by Step Solution

1. Step 1: Write the proportion equation
   140,637 : 187,866 = 187,866 : x
2. Step 2: Convert to fraction form
   140,637/187,866 = 187,866/x
3. Step 3: Cross multiply
   140,637x = 187,866 × 187,866
4. Step 4: Simplify right side
   140,637x = 35,293,633,956
5. Step 5: Solve for x
   x = 35,293,633,956/140,637
6. Step 6: Final answer
   x = 250,955.54