Finding the Third Proportional to 42,450 and 89,546

Step by Step Solution

1. Step 1: Write the proportion equation
   42,450 : 89,546 = 89,546 : x
2. Step 2: Convert to fraction form
   42,450/89,546 = 89,546/x
3. Step 3: Cross multiply
   42,450x = 89,546 × 89,546
4. Step 4: Simplify right side
   42,450x = 8,018,486,116
5. Step 5: Solve for x
   x = 8,018,486,116/42,450
6. Step 6: Final answer
   x = 188,892.49