Finding the Third Proportional to 152,146 and 222,585

Step by Step Solution

1. Step 1: Write the proportion equation
   152,146 : 222,585 = 222,585 : x
2. Step 2: Convert to fraction form
   152,146/222,585 = 222,585/x
3. Step 3: Cross multiply
   152,146x = 222,585 × 222,585
4. Step 4: Simplify right side
   152,146x = 49,544,082,225
5. Step 5: Solve for x
   x = 49,544,082,225/152,146
6. Step 6: Final answer
   x = 325,635.13