Finding the Third Proportional to 89,471 and 194,926

Step by Step Solution

1. Step 1: Write the proportion equation
   89,471 : 194,926 = 194,926 : x
2. Step 2: Convert to fraction form
   89,471/194,926 = 194,926/x
3. Step 3: Cross multiply
   89,471x = 194,926 × 194,926
4. Step 4: Simplify right side
   89,471x = 37,996,145,476
5. Step 5: Solve for x
   x = 37,996,145,476/89,471
6. Step 6: Final answer
   x = 424,675.54