Finding the Third Proportional to 58,767 and 123,582

Step by Step Solution

1. Step 1: Write the proportion equation
   58,767 : 123,582 = 123,582 : x
2. Step 2: Convert to fraction form
   58,767/123,582 = 123,582/x
3. Step 3: Cross multiply
   58,767x = 123,582 × 123,582
4. Step 4: Simplify right side
   58,767x = 15,272,510,724
5. Step 5: Solve for x
   x = 15,272,510,724/58,767
6. Step 6: Final answer
   x = 259,882.43