Finding the Third Proportional to 40,836 and 89,784

Step by Step Solution

1. Step 1: Write the proportion equation
   40,836 : 89,784 = 89,784 : x
2. Step 2: Convert to fraction form
   40,836/89,784 = 89,784/x
3. Step 3: Cross multiply
   40,836x = 89,784 × 89,784
4. Step 4: Simplify right side
   40,836x = 8,061,166,656
5. Step 5: Solve for x
   x = 8,061,166,656/40,836
6. Step 6: Final answer
   x = 197,403.43