Finding the Third Proportional to 81,122 and 188,469

Step by Step Solution

1. Step 1: Write the proportion equation
   81,122 : 188,469 = 188,469 : x
2. Step 2: Convert to fraction form
   81,122/188,469 = 188,469/x
3. Step 3: Cross multiply
   81,122x = 188,469 × 188,469
4. Step 4: Simplify right side
   81,122x = 35,520,563,961
5. Step 5: Solve for x
   x = 35,520,563,961/81,122
6. Step 6: Final answer
   x = 437,865.98