Finding the Third Proportional to 42,592 and 89,598

Step by Step Solution

1. Step 1: Write the proportion equation
   42,592 : 89,598 = 89,598 : x
2. Step 2: Convert to fraction form
   42,592/89,598 = 89,598/x
3. Step 3: Cross multiply
   42,592x = 89,598 × 89,598
4. Step 4: Simplify right side
   42,592x = 8,027,801,604
5. Step 5: Solve for x
   x = 8,027,801,604/42,592
6. Step 6: Final answer
   x = 188,481.44