Finding the Third Proportional to 646,065 and 962,784

Step by Step Solution

1. Step 1: Write the proportion equation
   646,065 : 962,784 = 962,784 : x
2. Step 2: Convert to fraction form
   646,065/962,784 = 962,784/x
3. Step 3: Cross multiply
   646,065x = 962,784 × 962,784
4. Step 4: Simplify right side
   646,065x = 926,953,030,656
5. Step 5: Solve for x
   x = 926,953,030,656/646,065
6. Step 6: Final answer
   x = 1,434,767.45