Finding the Third Proportional to 946,546 and 1,429,713

Step by Step Solution

1. Step 1: Write the proportion equation
   946,546 : 1,429,713 = 1,429,713 : x
2. Step 2: Convert to fraction form
   946,546/1,429,713 = 1,429,713/x
3. Step 3: Cross multiply
   946,546x = 1,429,713 × 1,429,713
4. Step 4: Simplify right side
   946,546x = 2,044,079,262,369
5. Step 5: Solve for x
   x = 2,044,079,262,369/946,546
6. Step 6: Final answer
   x = 2,159,513.92