Finding the Third Proportional to 123,056 and 181,128

Step by Step Solution

1. Step 1: Write the proportion equation
   123,056 : 181,128 = 181,128 : x
2. Step 2: Convert to fraction form
   123,056/181,128 = 181,128/x
3. Step 3: Cross multiply
   123,056x = 181,128 × 181,128
4. Step 4: Simplify right side
   123,056x = 32,807,352,384
5. Step 5: Solve for x
   x = 32,807,352,384/123,056
6. Step 6: Final answer
   x = 266,605.06