Finding the Third Proportional to 83,144 and 181,840

Step by Step Solution

1. Step 1: Write the proportion equation
   83,144 : 181,840 = 181,840 : x
2. Step 2: Convert to fraction form
   83,144/181,840 = 181,840/x
3. Step 3: Cross multiply
   83,144x = 181,840 × 181,840
4. Step 4: Simplify right side
   83,144x = 33,065,785,600
5. Step 5: Solve for x
   x = 33,065,785,600/83,144
6. Step 6: Final answer
   x = 397,692.99