Finding the Third Proportional to 81,100 and 129,144

Step by Step Solution

1. Step 1: Write the proportion equation
   81,100 : 129,144 = 129,144 : x
2. Step 2: Convert to fraction form
   81,100/129,144 = 129,144/x
3. Step 3: Cross multiply
   81,100x = 129,144 × 129,144
4. Step 4: Simplify right side
   81,100x = 16,678,172,736
5. Step 5: Solve for x
   x = 16,678,172,736/81,100
6. Step 6: Final answer
   x = 205,649.48