Finding the Third Proportional to 89,623 and 194,960

Step by Step Solution

1. Step 1: Write the proportion equation
   89,623 : 194,960 = 194,960 : x
2. Step 2: Convert to fraction form
   89,623/194,960 = 194,960/x
3. Step 3: Cross multiply
   89,623x = 194,960 × 194,960
4. Step 4: Simplify right side
   89,623x = 38,009,401,600
5. Step 5: Solve for x
   x = 38,009,401,600/89,623
6. Step 6: Final answer
   x = 424,103.21