Finding the Third Proportional to 89,512 and 194,998

Step by Step Solution

1. Step 1: Write the proportion equation
   89,512 : 194,998 = 194,998 : x
2. Step 2: Convert to fraction form
   89,512/194,998 = 194,998/x
3. Step 3: Cross multiply
   89,512x = 194,998 × 194,998
4. Step 4: Simplify right side
   89,512x = 38,024,220,004
5. Step 5: Solve for x
   x = 38,024,220,004/89,512
6. Step 6: Final answer
   x = 424,794.66