Finding the Third Proportional to 152,161 and 222,607

Step by Step Solution

1. Step 1: Write the proportion equation
   152,161 : 222,607 = 222,607 : x
2. Step 2: Convert to fraction form
   152,161/222,607 = 222,607/x
3. Step 3: Cross multiply
   152,161x = 222,607 × 222,607
4. Step 4: Simplify right side
   152,161x = 49,553,876,449
5. Step 5: Solve for x
   x = 49,553,876,449/152,161
6. Step 6: Final answer
   x = 325,667.39