Finding the Third Proportional to 43,223 and 89,446

Step by Step Solution

1. Step 1: Write the proportion equation
   43,223 : 89,446 = 89,446 : x
2. Step 2: Convert to fraction form
   43,223/89,446 = 89,446/x
3. Step 3: Cross multiply
   43,223x = 89,446 × 89,446
4. Step 4: Simplify right side
   43,223x = 8,000,586,916
5. Step 5: Solve for x
   x = 8,000,586,916/43,223
6. Step 6: Final answer
   x = 185,100.22