Finding the Third Proportional to 76,426 and 123,812

Step by Step Solution

1. Step 1: Write the proportion equation
   76,426 : 123,812 = 123,812 : x
2. Step 2: Convert to fraction form
   76,426/123,812 = 123,812/x
3. Step 3: Cross multiply
   76,426x = 123,812 × 123,812
4. Step 4: Simplify right side
   76,426x = 15,329,411,344
5. Step 5: Solve for x
   x = 15,329,411,344/76,426
6. Step 6: Final answer
   x = 200,578.49