Finding the Third Proportional to 81,250 and 181,171

Step by Step Solution

1. Step 1: Write the proportion equation
   81,250 : 181,171 = 181,171 : x
2. Step 2: Convert to fraction form
   81,250/181,171 = 181,171/x
3. Step 3: Cross multiply
   81,250x = 181,171 × 181,171
4. Step 4: Simplify right side
   81,250x = 32,822,931,241
5. Step 5: Solve for x
   x = 32,822,931,241/81,250
6. Step 6: Final answer
   x = 403,974.54