Finding the Third Proportional to 114,164 and 181,820

Step by Step Solution

1. Step 1: Write the proportion equation
   114,164 : 181,820 = 181,820 : x
2. Step 2: Convert to fraction form
   114,164/181,820 = 181,820/x
3. Step 3: Cross multiply
   114,164x = 181,820 × 181,820
4. Step 4: Simplify right side
   114,164x = 33,058,512,400
5. Step 5: Solve for x
   x = 33,058,512,400/114,164
6. Step 6: Final answer
   x = 289,570.38