Finding the Third Proportional to 59,223 and 128,274

Step by Step Solution

1. Step 1: Write the proportion equation
   59,223 : 128,274 = 128,274 : x
2. Step 2: Convert to fraction form
   59,223/128,274 = 128,274/x
3. Step 3: Cross multiply
   59,223x = 128,274 × 128,274
4. Step 4: Simplify right side
   59,223x = 16,454,219,076
5. Step 5: Solve for x
   x = 16,454,219,076/59,223
6. Step 6: Final answer
   x = 277,834.95