Finding the Third Proportional to 212,892 and 296,010

Step by Step Solution

1. Step 1: Write the proportion equation
   212,892 : 296,010 = 296,010 : x
2. Step 2: Convert to fraction form
   212,892/296,010 = 296,010/x
3. Step 3: Cross multiply
   212,892x = 296,010 × 296,010
4. Step 4: Simplify right side
   212,892x = 87,621,920,100
5. Step 5: Solve for x
   x = 87,621,920,100/212,892
6. Step 6: Final answer
   x = 411,579.20