Finding the Third Proportional to 123,873 and 189,804

Step by Step Solution

1. Step 1: Write the proportion equation
   123,873 : 189,804 = 189,804 : x
2. Step 2: Convert to fraction form
   123,873/189,804 = 189,804/x
3. Step 3: Cross multiply
   123,873x = 189,804 × 189,804
4. Step 4: Simplify right side
   123,873x = 36,025,558,416
5. Step 5: Solve for x
   x = 36,025,558,416/123,873
6. Step 6: Final answer
   x = 290,826.56