Finding the Third Proportional to 89,784 and 195,288

Step by Step Solution

1. Step 1: Write the proportion equation
   89,784 : 195,288 = 195,288 : x
2. Step 2: Convert to fraction form
   89,784/195,288 = 195,288/x
3. Step 3: Cross multiply
   89,784x = 195,288 × 195,288
4. Step 4: Simplify right side
   89,784x = 38,137,402,944
5. Step 5: Solve for x
   x = 38,137,402,944/89,784
6. Step 6: Final answer
   x = 424,768.37