Finding the Third Proportional to 462,816 and 739,054

Step by Step Solution

1. Step 1: Write the proportion equation
   462,816 : 739,054 = 739,054 : x
2. Step 2: Convert to fraction form
   462,816/739,054 = 739,054/x
3. Step 3: Cross multiply
   462,816x = 739,054 × 739,054
4. Step 4: Simplify right side
   462,816x = 546,200,814,916
5. Step 5: Solve for x
   x = 546,200,814,916/462,816
6. Step 6: Final answer
   x = 1,180,168.39