Finding the Third Proportional to 89,404 and 194,840

Step by Step Solution

1. Step 1: Write the proportion equation
   89,404 : 194,840 = 194,840 : x
2. Step 2: Convert to fraction form
   89,404/194,840 = 194,840/x
3. Step 3: Cross multiply
   89,404x = 194,840 × 194,840
4. Step 4: Simplify right side
   89,404x = 37,962,625,600
5. Step 5: Solve for x
   x = 37,962,625,600/89,404
6. Step 6: Final answer
   x = 424,618.87