Finding the Third Proportional to 600,142 and 920,256

Step by Step Solution

1. Step 1: Write the proportion equation
   600,142 : 920,256 = 920,256 : x
2. Step 2: Convert to fraction form
   600,142/920,256 = 920,256/x
3. Step 3: Cross multiply
   600,142x = 920,256 × 920,256
4. Step 4: Simplify right side
   600,142x = 846,871,105,536
5. Step 5: Solve for x
   x = 846,871,105,536/600,142
6. Step 6: Final answer
   x = 1,411,117.88