Finding the Third Proportional to 89,590 and 194,984

Step by Step Solution

1. Step 1: Write the proportion equation
   89,590 : 194,984 = 194,984 : x
2. Step 2: Convert to fraction form
   89,590/194,984 = 194,984/x
3. Step 3: Cross multiply
   89,590x = 194,984 × 194,984
4. Step 4: Simplify right side
   89,590x = 38,018,760,256
5. Step 5: Solve for x
   x = 38,018,760,256/89,590
6. Step 6: Final answer
   x = 424,363.88