Finding the Third Proportional to 174,706 and 263,500

Step by Step Solution

1. Step 1: Write the proportion equation
   174,706 : 263,500 = 263,500 : x
2. Step 2: Convert to fraction form
   174,706/263,500 = 263,500/x
3. Step 3: Cross multiply
   174,706x = 263,500 × 263,500
4. Step 4: Simplify right side
   174,706x = 69,432,250,000
5. Step 5: Solve for x
   x = 69,432,250,000/174,706
6. Step 6: Final answer
   x = 397,423.39