Finding the Third Proportional to 946,644 and 1,429,822

Step by Step Solution

1. Step 1: Write the proportion equation
   946,644 : 1,429,822 = 1,429,822 : x
2. Step 2: Convert to fraction form
   946,644/1,429,822 = 1,429,822/x
3. Step 3: Cross multiply
   946,644x = 1,429,822 × 1,429,822
4. Step 4: Simplify right side
   946,644x = 2,044,390,951,684
5. Step 5: Solve for x
   x = 2,044,390,951,684/946,644
6. Step 6: Final answer
   x = 2,159,619.62