Finding the Third Proportional to 89,751 and 194,361

Step by Step Solution

1. Step 1: Write the proportion equation
   89,751 : 194,361 = 194,361 : x
2. Step 2: Convert to fraction form
   89,751/194,361 = 194,361/x
3. Step 3: Cross multiply
   89,751x = 194,361 × 194,361
4. Step 4: Simplify right side
   89,751x = 37,776,198,321
5. Step 5: Solve for x
   x = 37,776,198,321/89,751
6. Step 6: Final answer
   x = 420,900.03