Finding the Third Proportional to 427,924 and 662,256

Step by Step Solution

1. Step 1: Write the proportion equation
   427,924 : 662,256 = 662,256 : x
2. Step 2: Convert to fraction form
   427,924/662,256 = 662,256/x
3. Step 3: Cross multiply
   427,924x = 662,256 × 662,256
4. Step 4: Simplify right side
   427,924x = 438,583,009,536
5. Step 5: Solve for x
   x = 438,583,009,536/427,924
6. Step 6: Final answer
   x = 1,024,908.65