Finding the Third Proportional to 693,748 and 1,406,633

Step by Step Solution

1. Step 1: Write the proportion equation
   693,748 : 1,406,633 = 1,406,633 : x
2. Step 2: Convert to fraction form
   693,748/1,406,633 = 1,406,633/x
3. Step 3: Cross multiply
   693,748x = 1,406,633 × 1,406,633
4. Step 4: Simplify right side
   693,748x = 1,978,616,396,689
5. Step 5: Solve for x
   x = 1,978,616,396,689/693,748
6. Step 6: Final answer
   x = 2,852,067.89