Finding the Third Proportional to 212,040 and 462,912

Step by Step Solution

1. Step 1: Write the proportion equation
   212,040 : 462,912 = 462,912 : x
2. Step 2: Convert to fraction form
   212,040/462,912 = 462,912/x
3. Step 3: Cross multiply
   212,040x = 462,912 × 462,912
4. Step 4: Simplify right side
   212,040x = 214,287,519,744
5. Step 5: Solve for x
   x = 214,287,519,744/212,040
6. Step 6: Final answer
   x = 1,010,599.51