Finding the Third Proportional to 765,080 and 1,681,144

Step by Step Solution

1. Step 1: Write the proportion equation
   765,080 : 1,681,144 = 1,681,144 : x
2. Step 2: Convert to fraction form
   765,080/1,681,144 = 1,681,144/x
3. Step 3: Cross multiply
   765,080x = 1,681,144 × 1,681,144
4. Step 4: Simplify right side
   765,080x = 2,826,245,148,736
5. Step 5: Solve for x
   x = 2,826,245,148,736/765,080
6. Step 6: Final answer
   x = 3,694,051.80