Finding the Third Proportional to 223,026 and 333,564.75

Step by Step Solution

1. Step 1: Write the proportion equation
   223,026 : 333,564.75 = 333,564.75 : x
2. Step 2: Convert to fraction form
   223,026/333,564.75 = 333,564.75/x
3. Step 3: Cross multiply
   223,026x = 333,564.75 × 333,564.75
4. Step 4: Simplify right side
   223,026x = 111,265,442,442.56
5. Step 5: Solve for x
   x = 111,265,442,442.56/223,026
6. Step 6: Final answer
   x = 498,890.01