Finding the Third Proportional to 229,654 and 492,526

Step by Step Solution

1. Step 1: Write the proportion equation
   229,654 : 492,526 = 492,526 : x
2. Step 2: Convert to fraction form
   229,654/492,526 = 492,526/x
3. Step 3: Cross multiply
   229,654x = 492,526 × 492,526
4. Step 4: Simplify right side
   229,654x = 242,581,860,676
5. Step 5: Solve for x
   x = 242,581,860,676/229,654
6. Step 6: Final answer
   x = 1,056,292.77