Finding the Third Proportional to 123,091 and 263,678

Step by Step Solution

1. Step 1: Write the proportion equation
   123,091 : 263,678 = 263,678 : x
2. Step 2: Convert to fraction form
   123,091/263,678 = 263,678/x
3. Step 3: Cross multiply
   123,091x = 263,678 × 263,678
4. Step 4: Simplify right side
   123,091x = 69,526,087,684
5. Step 5: Solve for x
   x = 69,526,087,684/123,091
6. Step 6: Final answer
   x = 564,834.86