Finding the Third Proportional to 152,069 and 222,326

Step by Step Solution

1. Step 1: Write the proportion equation
   152,069 : 222,326 = 222,326 : x
2. Step 2: Convert to fraction form
   152,069/222,326 = 222,326/x
3. Step 3: Cross multiply
   152,069x = 222,326 × 222,326
4. Step 4: Simplify right side
   152,069x = 49,428,850,276
5. Step 5: Solve for x
   x = 49,428,850,276/152,069
6. Step 6: Final answer
   x = 325,042.25