Finding the Third Proportional to 89,858 and 212,045

Step by Step Solution

1. Step 1: Write the proportion equation
   89,858 : 212,045 = 212,045 : x
2. Step 2: Convert to fraction form
   89,858/212,045 = 212,045/x
3. Step 3: Cross multiply
   89,858x = 212,045 × 212,045
4. Step 4: Simplify right side
   89,858x = 44,963,082,025
5. Step 5: Solve for x
   x = 44,963,082,025/89,858
6. Step 6: Final answer
   x = 500,379.29