Finding the Third Proportional to 152,092 and 222,186

Step by Step Solution

1. Step 1: Write the proportion equation
   152,092 : 222,186 = 222,186 : x
2. Step 2: Convert to fraction form
   152,092/222,186 = 222,186/x
3. Step 3: Cross multiply
   152,092x = 222,186 × 222,186
4. Step 4: Simplify right side
   152,092x = 49,366,618,596
5. Step 5: Solve for x
   x = 49,366,618,596/152,092
6. Step 6: Final answer
   x = 324,583.93