Finding the Third Proportional to 123,089 and 179,747

Step by Step Solution

1. Step 1: Write the proportion equation
   123,089 : 179,747 = 179,747 : x
2. Step 2: Convert to fraction form
   123,089/179,747 = 179,747/x
3. Step 3: Cross multiply
   123,089x = 179,747 × 179,747
4. Step 4: Simplify right side
   123,089x = 32,308,984,009
5. Step 5: Solve for x
   x = 32,308,984,009/123,089
6. Step 6: Final answer
   x = 262,484.74