Finding the Third Proportional to 42,590 and 89,593

Step by Step Solution

1. Step 1: Write the proportion equation
   42,590 : 89,593 = 89,593 : x
2. Step 2: Convert to fraction form
   42,590/89,593 = 89,593/x
3. Step 3: Cross multiply
   42,590x = 89,593 × 89,593
4. Step 4: Simplify right side
   42,590x = 8,026,905,649
5. Step 5: Solve for x
   x = 8,026,905,649/42,590
6. Step 6: Final answer
   x = 188,469.26