Finding the Third Proportional to 40,784 and 89,590

Step by Step Solution

1. Step 1: Write the proportion equation
   40,784 : 89,590 = 89,590 : x
2. Step 2: Convert to fraction form
   40,784/89,590 = 89,590/x
3. Step 3: Cross multiply
   40,784x = 89,590 × 89,590
4. Step 4: Simplify right side
   40,784x = 8,026,368,100
5. Step 5: Solve for x
   x = 8,026,368,100/40,784
6. Step 6: Final answer
   x = 196,801.89