Finding the Third Proportional to 51,290 and 105,136

Step by Step Solution

1. Step 1: Write the proportion equation
   51,290 : 105,136 = 105,136 : x
2. Step 2: Convert to fraction form
   51,290/105,136 = 105,136/x
3. Step 3: Cross multiply
   51,290x = 105,136 × 105,136
4. Step 4: Simplify right side
   51,290x = 11,053,578,496
5. Step 5: Solve for x
   x = 11,053,578,496/51,290
6. Step 6: Final answer
   x = 215,511.38