Finding the Third Proportional to 123,789 and 185,958

Step by Step Solution

1. Step 1: Write the proportion equation
   123,789 : 185,958 = 185,958 : x
2. Step 2: Convert to fraction form
   123,789/185,958 = 185,958/x
3. Step 3: Cross multiply
   123,789x = 185,958 × 185,958
4. Step 4: Simplify right side
   123,789x = 34,580,377,764
5. Step 5: Solve for x
   x = 34,580,377,764/123,789
6. Step 6: Final answer
   x = 279,349.36