Finding the Third Proportional to 206,466 and 277,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,466 : 277,865.50 = 277,865.50 : x
2. Step 2: Convert to fraction form
   206,466/277,865.50 = 277,865.50/x
3. Step 3: Cross multiply
   206,466x = 277,865.50 × 277,865.50
4. Step 4: Simplify right side
   206,466x = 77,209,236,090.25
5. Step 5: Solve for x
   x = 77,209,236,090.25/206,466
6. Step 6: Final answer
   x = 373,956.18