Finding the Third Proportional to 59,145 and 128,136

Step by Step Solution

1. Step 1: Write the proportion equation
   59,145 : 128,136 = 128,136 : x
2. Step 2: Convert to fraction form
   59,145/128,136 = 128,136/x
3. Step 3: Cross multiply
   59,145x = 128,136 × 128,136
4. Step 4: Simplify right side
   59,145x = 16,418,834,496
5. Step 5: Solve for x
   x = 16,418,834,496/59,145
6. Step 6: Final answer
   x = 277,603.09