Finding the Third Proportional to 675,438 and 1,069,536

Step by Step Solution

1. Step 1: Write the proportion equation
   675,438 : 1,069,536 = 1,069,536 : x
2. Step 2: Convert to fraction form
   675,438/1,069,536 = 1,069,536/x
3. Step 3: Cross multiply
   675,438x = 1,069,536 × 1,069,536
4. Step 4: Simplify right side
   675,438x = 1,143,907,255,296
5. Step 5: Solve for x
   x = 1,143,907,255,296/675,438
6. Step 6: Final answer
   x = 1,693,578.47