Finding the Third Proportional to 766,284 and 1,665,206

Step by Step Solution

1. Step 1: Write the proportion equation
   766,284 : 1,665,206 = 1,665,206 : x
2. Step 2: Convert to fraction form
   766,284/1,665,206 = 1,665,206/x
3. Step 3: Cross multiply
   766,284x = 1,665,206 × 1,665,206
4. Step 4: Simplify right side
   766,284x = 2,772,911,022,436
5. Step 5: Solve for x
   x = 2,772,911,022,436/766,284
6. Step 6: Final answer
   x = 3,618,646.64