Finding the Third Proportional to 766,681 and 1,680,986

Step by Step Solution

1. Step 1: Write the proportion equation
   766,681 : 1,680,986 = 1,680,986 : x
2. Step 2: Convert to fraction form
   766,681/1,680,986 = 1,680,986/x
3. Step 3: Cross multiply
   766,681x = 1,680,986 × 1,680,986
4. Step 4: Simplify right side
   766,681x = 2,825,713,932,196
5. Step 5: Solve for x
   x = 2,825,713,932,196/766,681
6. Step 6: Final answer
   x = 3,685,644.92