Finding the Third Proportional to 193,257 and 281,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,257 : 281,488.50 = 281,488.50 : x
2. Step 2: Convert to fraction form
   193,257/281,488.50 = 281,488.50/x
3. Step 3: Cross multiply
   193,257x = 281,488.50 × 281,488.50
4. Step 4: Simplify right side
   193,257x = 79,235,775,632.25
5. Step 5: Solve for x
   x = 79,235,775,632.25/193,257
6. Step 6: Final answer
   x = 410,002.10