Finding the Third Proportional to 40,784 and 89,587

Step by Step Solution

1. Step 1: Write the proportion equation
   40,784 : 89,587 = 89,587 : x
2. Step 2: Convert to fraction form
   40,784/89,587 = 89,587/x
3. Step 3: Cross multiply
   40,784x = 89,587 × 89,587
4. Step 4: Simplify right side
   40,784x = 8,025,830,569
5. Step 5: Solve for x
   x = 8,025,830,569/40,784
6. Step 6: Final answer
   x = 196,788.71