Finding the Third Proportional to 83,316 and 181,406

Step by Step Solution

1. Step 1: Write the proportion equation
   83,316 : 181,406 = 181,406 : x
2. Step 2: Convert to fraction form
   83,316/181,406 = 181,406/x
3. Step 3: Cross multiply
   83,316x = 181,406 × 181,406
4. Step 4: Simplify right side
   83,316x = 32,908,136,836
5. Step 5: Solve for x
   x = 32,908,136,836/83,316
6. Step 6: Final answer
   x = 394,979.80