Finding the Third Proportional to 123,638 and 187,833

Step by Step Solution

1. Step 1: Write the proportion equation
   123,638 : 187,833 = 187,833 : x
2. Step 2: Convert to fraction form
   123,638/187,833 = 187,833/x
3. Step 3: Cross multiply
   123,638x = 187,833 × 187,833
4. Step 4: Simplify right side
   123,638x = 35,281,235,889
5. Step 5: Solve for x
   x = 35,281,235,889/123,638
6. Step 6: Final answer
   x = 285,359.16