Finding the Third Proportional to 1,147,557 and 1,686,342

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147,557 : 1,686,342 = 1,686,342 : x
2. Step 2: Convert to fraction form
   1,147,557/1,686,342 = 1,686,342/x
3. Step 3: Cross multiply
   1,147,557x = 1,686,342 × 1,686,342
4. Step 4: Simplify right side
   1,147,557x = 2,843,749,340,964
5. Step 5: Solve for x
   x = 2,843,749,340,964/1,147,557
6. Step 6: Final answer
   x = 2,478,089.84