Finding the Third Proportional to 657,312 and 1,414,256

Step by Step Solution

1. Step 1: Write the proportion equation
   657,312 : 1,414,256 = 1,414,256 : x
2. Step 2: Convert to fraction form
   657,312/1,414,256 = 1,414,256/x
3. Step 3: Cross multiply
   657,312x = 1,414,256 × 1,414,256
4. Step 4: Simplify right side
   657,312x = 2,000,120,033,536
5. Step 5: Solve for x
   x = 2,000,120,033,536/657,312
6. Step 6: Final answer
   x = 3,042,877.71