Finding the Third Proportional to 256,429.50 and 277,206

Step by Step Solution

1. Step 1: Write the proportion equation
   256,429.50 : 277,206 = 277,206 : x
2. Step 2: Convert to fraction form
   256,429.50/277,206 = 277,206/x
3. Step 3: Cross multiply
   256,429.50x = 277,206 × 277,206
4. Step 4: Simplify right side
   256,429.50x = 76,843,166,436
5. Step 5: Solve for x
   x = 76,843,166,436/256,429.50
6. Step 6: Final answer
   x = 299,665.86