Finding the Third Proportional to 89,456 and 182,796

Step by Step Solution

1. Step 1: Write the proportion equation
   89,456 : 182,796 = 182,796 : x
2. Step 2: Convert to fraction form
   89,456/182,796 = 182,796/x
3. Step 3: Cross multiply
   89,456x = 182,796 × 182,796
4. Step 4: Simplify right side
   89,456x = 33,414,377,616
5. Step 5: Solve for x
   x = 33,414,377,616/89,456
6. Step 6: Final answer
   x = 373,528.64