Finding the Third Proportional to 657,296 and 1,414,224

Step by Step Solution

1. Step 1: Write the proportion equation
   657,296 : 1,414,224 = 1,414,224 : x
2. Step 2: Convert to fraction form
   657,296/1,414,224 = 1,414,224/x
3. Step 3: Cross multiply
   657,296x = 1,414,224 × 1,414,224
4. Step 4: Simplify right side
   657,296x = 2,000,029,522,176
5. Step 5: Solve for x
   x = 2,000,029,522,176/657,296
6. Step 6: Final answer
   x = 3,042,814.08