Finding the Third Proportional to 123,857 and 189,783

Step by Step Solution

1. Step 1: Write the proportion equation
   123,857 : 189,783 = 189,783 : x
2. Step 2: Convert to fraction form
   123,857/189,783 = 189,783/x
3. Step 3: Cross multiply
   123,857x = 189,783 × 189,783
4. Step 4: Simplify right side
   123,857x = 36,017,587,089
5. Step 5: Solve for x
   x = 36,017,587,089/123,857
6. Step 6: Final answer
   x = 290,799.77