Finding the Third Proportional to 215,644 and 467,942

Step by Step Solution

1. Step 1: Write the proportion equation
   215,644 : 467,942 = 467,942 : x
2. Step 2: Convert to fraction form
   215,644/467,942 = 467,942/x
3. Step 3: Cross multiply
   215,644x = 467,942 × 467,942
4. Step 4: Simplify right side
   215,644x = 218,969,715,364
5. Step 5: Solve for x
   x = 218,969,715,364/215,644
6. Step 6: Final answer
   x = 1,015,422.25