Finding the Third Proportional to 81,045 and 188,412

Step by Step Solution

1. Step 1: Write the proportion equation
   81,045 : 188,412 = 188,412 : x
2. Step 2: Convert to fraction form
   81,045/188,412 = 188,412/x
3. Step 3: Cross multiply
   81,045x = 188,412 × 188,412
4. Step 4: Simplify right side
   81,045x = 35,499,081,744
5. Step 5: Solve for x
   x = 35,499,081,744/81,045
6. Step 6: Final answer
   x = 438,016.93