Finding the Third Proportional to 463,724 and 977,256

Step by Step Solution

1. Step 1: Write the proportion equation
   463,724 : 977,256 = 977,256 : x
2. Step 2: Convert to fraction form
   463,724/977,256 = 977,256/x
3. Step 3: Cross multiply
   463,724x = 977,256 × 977,256
4. Step 4: Simplify right side
   463,724x = 955,029,289,536
5. Step 5: Solve for x
   x = 955,029,289,536/463,724
6. Step 6: Final answer
   x = 2,059,477.81