Finding the Third Proportional to 89,553 and 188,298

Step by Step Solution

1. Step 1: Write the proportion equation
   89,553 : 188,298 = 188,298 : x
2. Step 2: Convert to fraction form
   89,553/188,298 = 188,298/x
3. Step 3: Cross multiply
   89,553x = 188,298 × 188,298
4. Step 4: Simplify right side
   89,553x = 35,456,136,804
5. Step 5: Solve for x
   x = 35,456,136,804/89,553
6. Step 6: Final answer
   x = 395,923.50