Finding the Third Proportional to 90,726 and 181,816

Step by Step Solution

1. Step 1: Write the proportion equation
   90,726 : 181,816 = 181,816 : x
2. Step 2: Convert to fraction form
   90,726/181,816 = 181,816/x
3. Step 3: Cross multiply
   90,726x = 181,816 × 181,816
4. Step 4: Simplify right side
   90,726x = 33,057,057,856
5. Step 5: Solve for x
   x = 33,057,057,856/90,726
6. Step 6: Final answer
   x = 364,361.46