Finding the Third Proportional to 83,329 and 181,900

Step by Step Solution

1. Step 1: Write the proportion equation
   83,329 : 181,900 = 181,900 : x
2. Step 2: Convert to fraction form
   83,329/181,900 = 181,900/x
3. Step 3: Cross multiply
   83,329x = 181,900 × 181,900
4. Step 4: Simplify right side
   83,329x = 33,087,610,000
5. Step 5: Solve for x
   x = 33,087,610,000/83,329
6. Step 6: Final answer
   x = 397,071.97