Finding the Third Proportional to 123,854 and 182,847

Step by Step Solution

1. Step 1: Write the proportion equation
   123,854 : 182,847 = 182,847 : x
2. Step 2: Convert to fraction form
   123,854/182,847 = 182,847/x
3. Step 3: Cross multiply
   123,854x = 182,847 × 182,847
4. Step 4: Simplify right side
   123,854x = 33,433,025,409
5. Step 5: Solve for x
   x = 33,433,025,409/123,854
6. Step 6: Final answer
   x = 269,939.00