Finding the Third Proportional to 225,778 and 493,534

Step by Step Solution

1. Step 1: Write the proportion equation
   225,778 : 493,534 = 493,534 : x
2. Step 2: Convert to fraction form
   225,778/493,534 = 493,534/x
3. Step 3: Cross multiply
   225,778x = 493,534 × 493,534
4. Step 4: Simplify right side
   225,778x = 243,575,809,156
5. Step 5: Solve for x
   x = 243,575,809,156/225,778
6. Step 6: Final answer
   x = 1,078,828.80