Finding the Third Proportional to 680,238 and 1,478,574

Step by Step Solution

1. Step 1: Write the proportion equation
   680,238 : 1,478,574 = 1,478,574 : x
2. Step 2: Convert to fraction form
   680,238/1,478,574 = 1,478,574/x
3. Step 3: Cross multiply
   680,238x = 1,478,574 × 1,478,574
4. Step 4: Simplify right side
   680,238x = 2,186,181,073,476
5. Step 5: Solve for x
   x = 2,186,181,073,476/680,238
6. Step 6: Final answer
   x = 3,213,847.32