Finding the Third Proportional to 427,293 and 661,410

Step by Step Solution

1. Step 1: Write the proportion equation
   427,293 : 661,410 = 661,410 : x
2. Step 2: Convert to fraction form
   427,293/661,410 = 661,410/x
3. Step 3: Cross multiply
   427,293x = 661,410 × 661,410
4. Step 4: Simplify right side
   427,293x = 437,463,188,100
5. Step 5: Solve for x
   x = 437,463,188,100/427,293
6. Step 6: Final answer
   x = 1,023,801.44