Finding the Third Proportional to 123,089 and 263,674

Step by Step Solution

1. Step 1: Write the proportion equation
   123,089 : 263,674 = 263,674 : x
2. Step 2: Convert to fraction form
   123,089/263,674 = 263,674/x
3. Step 3: Cross multiply
   123,089x = 263,674 × 263,674
4. Step 4: Simplify right side
   123,089x = 69,523,978,276
5. Step 5: Solve for x
   x = 69,523,978,276/123,089
6. Step 6: Final answer
   x = 564,826.90