Finding the Third Proportional to 116,722 and 181,083

Step by Step Solution

1. Step 1: Write the proportion equation
   116,722 : 181,083 = 181,083 : x
2. Step 2: Convert to fraction form
   116,722/181,083 = 181,083/x
3. Step 3: Cross multiply
   116,722x = 181,083 × 181,083
4. Step 4: Simplify right side
   116,722x = 32,791,052,889
5. Step 5: Solve for x
   x = 32,791,052,889/116,722
6. Step 6: Final answer
   x = 280,932.93