Finding the Third Proportional to 222,576 and 493,188

Step by Step Solution

1. Step 1: Write the proportion equation
   222,576 : 493,188 = 493,188 : x
2. Step 2: Convert to fraction form
   222,576/493,188 = 493,188/x
3. Step 3: Cross multiply
   222,576x = 493,188 × 493,188
4. Step 4: Simplify right side
   222,576x = 243,234,403,344
5. Step 5: Solve for x
   x = 243,234,403,344/222,576
6. Step 6: Final answer
   x = 1,092,815.05