Finding the Third Proportional to 212,702 and 464,042

Step by Step Solution

1. Step 1: Write the proportion equation
   212,702 : 464,042 = 464,042 : x
2. Step 2: Convert to fraction form
   212,702/464,042 = 464,042/x
3. Step 3: Cross multiply
   212,702x = 464,042 × 464,042
4. Step 4: Simplify right side
   212,702x = 215,334,977,764
5. Step 5: Solve for x
   x = 215,334,977,764/212,702
6. Step 6: Final answer
   x = 1,012,378.72