Finding the Third Proportional to 90,724 and 181,813

Step by Step Solution

1. Step 1: Write the proportion equation
   90,724 : 181,813 = 181,813 : x
2. Step 2: Convert to fraction form
   90,724/181,813 = 181,813/x
3. Step 3: Cross multiply
   90,724x = 181,813 × 181,813
4. Step 4: Simplify right side
   90,724x = 33,055,966,969
5. Step 5: Solve for x
   x = 33,055,966,969/90,724
6. Step 6: Final answer
   x = 364,357.47