Finding the Third Proportional to 83,318 and 181,424

Step by Step Solution

1. Step 1: Write the proportion equation
   83,318 : 181,424 = 181,424 : x
2. Step 2: Convert to fraction form
   83,318/181,424 = 181,424/x
3. Step 3: Cross multiply
   83,318x = 181,424 × 181,424
4. Step 4: Simplify right side
   83,318x = 32,914,667,776
5. Step 5: Solve for x
   x = 32,914,667,776/83,318
6. Step 6: Final answer
   x = 395,048.70