Finding the Third Proportional to 123,864 and 189,798

Step by Step Solution

1. Step 1: Write the proportion equation
   123,864 : 189,798 = 189,798 : x
2. Step 2: Convert to fraction form
   123,864/189,798 = 189,798/x
3. Step 3: Cross multiply
   123,864x = 189,798 × 189,798
4. Step 4: Simplify right side
   123,864x = 36,023,280,804
5. Step 5: Solve for x
   x = 36,023,280,804/123,864
6. Step 6: Final answer
   x = 290,829.30