Finding the Third Proportional to 59,111 and 129,706

Step by Step Solution

1. Step 1: Write the proportion equation
   59,111 : 129,706 = 129,706 : x
2. Step 2: Convert to fraction form
   59,111/129,706 = 129,706/x
3. Step 3: Cross multiply
   59,111x = 129,706 × 129,706
4. Step 4: Simplify right side
   59,111x = 16,823,646,436
5. Step 5: Solve for x
   x = 16,823,646,436/59,111
6. Step 6: Final answer
   x = 284,611.09