Finding the Third Proportional to 686,857 and 1,050,792

Step by Step Solution

1. Step 1: Write the proportion equation
   686,857 : 1,050,792 = 1,050,792 : x
2. Step 2: Convert to fraction form
   686,857/1,050,792 = 1,050,792/x
3. Step 3: Cross multiply
   686,857x = 1,050,792 × 1,050,792
4. Step 4: Simplify right side
   686,857x = 1,104,163,827,264
5. Step 5: Solve for x
   x = 1,104,163,827,264/686,857
6. Step 6: Final answer
   x = 1,607,559.98