Finding the Third Proportional to 42,456 and 90,546

Step by Step Solution

1. Step 1: Write the proportion equation
   42,456 : 90,546 = 90,546 : x
2. Step 2: Convert to fraction form
   42,456/90,546 = 90,546/x
3. Step 3: Cross multiply
   42,456x = 90,546 × 90,546
4. Step 4: Simplify right side
   42,456x = 8,198,578,116
5. Step 5: Solve for x
   x = 8,198,578,116/42,456
6. Step 6: Final answer
   x = 193,107.64