Finding the Third Proportional to 85,833 and 181,314

Step by Step Solution

1. Step 1: Write the proportion equation
   85,833 : 181,314 = 181,314 : x
2. Step 2: Convert to fraction form
   85,833/181,314 = 181,314/x
3. Step 3: Cross multiply
   85,833x = 181,314 × 181,314
4. Step 4: Simplify right side
   85,833x = 32,874,766,596
5. Step 5: Solve for x
   x = 32,874,766,596/85,833
6. Step 6: Final answer
   x = 383,008.48