Finding the Third Proportional to 780,242 and 1,686,112

Step by Step Solution

1. Step 1: Write the proportion equation
   780,242 : 1,686,112 = 1,686,112 : x
2. Step 2: Convert to fraction form
   780,242/1,686,112 = 1,686,112/x
3. Step 3: Cross multiply
   780,242x = 1,686,112 × 1,686,112
4. Step 4: Simplify right side
   780,242x = 2,842,973,676,544
5. Step 5: Solve for x
   x = 2,842,973,676,544/780,242
6. Step 6: Final answer
   x = 3,643,707.56