Finding the Third Proportional to 58,664 and 123,136

Step by Step Solution

1. Step 1: Write the proportion equation
   58,664 : 123,136 = 123,136 : x
2. Step 2: Convert to fraction form
   58,664/123,136 = 123,136/x
3. Step 3: Cross multiply
   58,664x = 123,136 × 123,136
4. Step 4: Simplify right side
   58,664x = 15,162,474,496
5. Step 5: Solve for x
   x = 15,162,474,496/58,664
6. Step 6: Final answer
   x = 258,463.02