Finding the Third Proportional to 222,524 and 493,094

Step by Step Solution

1. Step 1: Write the proportion equation
   222,524 : 493,094 = 493,094 : x
2. Step 2: Convert to fraction form
   222,524/493,094 = 493,094/x
3. Step 3: Cross multiply
   222,524x = 493,094 × 493,094
4. Step 4: Simplify right side
   222,524x = 243,141,692,836
5. Step 5: Solve for x
   x = 243,141,692,836/222,524
6. Step 6: Final answer
   x = 1,092,653.79