Finding the Third Proportional to 222,624 and 493,272

Step by Step Solution

1. Step 1: Write the proportion equation
   222,624 : 493,272 = 493,272 : x
2. Step 2: Convert to fraction form
   222,624/493,272 = 493,272/x
3. Step 3: Cross multiply
   222,624x = 493,272 × 493,272
4. Step 4: Simplify right side
   222,624x = 243,317,265,984
5. Step 5: Solve for x
   x = 243,317,265,984/222,624
6. Step 6: Final answer
   x = 1,092,951.64