Finding the Third Proportional to 764,928 and 1,680,832

Step by Step Solution

1. Step 1: Write the proportion equation
   764,928 : 1,680,832 = 1,680,832 : x
2. Step 2: Convert to fraction form
   764,928/1,680,832 = 1,680,832/x
3. Step 3: Cross multiply
   764,928x = 1,680,832 × 1,680,832
4. Step 4: Simplify right side
   764,928x = 2,825,196,212,224
5. Step 5: Solve for x
   x = 2,825,196,212,224/764,928
6. Step 6: Final answer
   x = 3,693,414.56