Finding the Third Proportional to 197,214 and 281,992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   197,214 : 281,992.50 = 281,992.50 : x
2. Step 2: Convert to fraction form
   197,214/281,992.50 = 281,992.50/x
3. Step 3: Cross multiply
   197,214x = 281,992.50 × 281,992.50
4. Step 4: Simplify right side
   197,214x = 79,519,770,056.25
5. Step 5: Solve for x
   x = 79,519,770,056.25/197,214
6. Step 6: Final answer
   x = 403,215.64