Finding the Third Proportional to 765,046 and 1,585,370

Step by Step Solution

1. Step 1: Write the proportion equation
   765,046 : 1,585,370 = 1,585,370 : x
2. Step 2: Convert to fraction form
   765,046/1,585,370 = 1,585,370/x
3. Step 3: Cross multiply
   765,046x = 1,585,370 × 1,585,370
4. Step 4: Simplify right side
   765,046x = 2,513,398,036,900
5. Step 5: Solve for x
   x = 2,513,398,036,900/765,046
6. Step 6: Final answer
   x = 3,285,290.08