Finding the Third Proportional to 192,582 and 463,914

Step by Step Solution

1. Step 1: Write the proportion equation
   192,582 : 463,914 = 463,914 : x
2. Step 2: Convert to fraction form
   192,582/463,914 = 463,914/x
3. Step 3: Cross multiply
   192,582x = 463,914 × 463,914
4. Step 4: Simplify right side
   192,582x = 215,216,199,396
5. Step 5: Solve for x
   x = 215,216,199,396/192,582
6. Step 6: Final answer
   x = 1,117,530.19