Finding the Third Proportional to 463,724 and 977,254

Step by Step Solution

1. Step 1: Write the proportion equation
   463,724 : 977,254 = 977,254 : x
2. Step 2: Convert to fraction form
   463,724/977,254 = 977,254/x
3. Step 3: Cross multiply
   463,724x = 977,254 × 977,254
4. Step 4: Simplify right side
   463,724x = 955,025,380,516
5. Step 5: Solve for x
   x = 955,025,380,516/463,724
6. Step 6: Final answer
   x = 2,059,469.38