Finding the Third Proportional to 775,534 and 1,640,488

Step by Step Solution

1. Step 1: Write the proportion equation
   775,534 : 1,640,488 = 1,640,488 : x
2. Step 2: Convert to fraction form
   775,534/1,640,488 = 1,640,488/x
3. Step 3: Cross multiply
   775,534x = 1,640,488 × 1,640,488
4. Step 4: Simplify right side
   775,534x = 2,691,200,878,144
5. Step 5: Solve for x
   x = 2,691,200,878,144/775,534
6. Step 6: Final answer
   x = 3,470,126.23