Finding the Third Proportional to 702,382 and 1,538,576

Step by Step Solution

1. Step 1: Write the proportion equation
   702,382 : 1,538,576 = 1,538,576 : x
2. Step 2: Convert to fraction form
   702,382/1,538,576 = 1,538,576/x
3. Step 3: Cross multiply
   702,382x = 1,538,576 × 1,538,576
4. Step 4: Simplify right side
   702,382x = 2,367,216,107,776
5. Step 5: Solve for x
   x = 2,367,216,107,776/702,382
6. Step 6: Final answer
   x = 3,370,268.75