Finding the Third Proportional to 89,652 and 195,074

Step by Step Solution

1. Step 1: Write the proportion equation
   89,652 : 195,074 = 195,074 : x
2. Step 2: Convert to fraction form
   89,652/195,074 = 195,074/x
3. Step 3: Cross multiply
   89,652x = 195,074 × 195,074
4. Step 4: Simplify right side
   89,652x = 38,053,865,476
5. Step 5: Solve for x
   x = 38,053,865,476/89,652
6. Step 6: Final answer
   x = 424,461.98