Finding the Third Proportional to 463,722.50 and 977,257

Step by Step Solution

1. Step 1: Write the proportion equation
   463,722.50 : 977,257 = 977,257 : x
2. Step 2: Convert to fraction form
   463,722.50/977,257 = 977,257/x
3. Step 3: Cross multiply
   463,722.50x = 977,257 × 977,257
4. Step 4: Simplify right side
   463,722.50x = 955,031,244,049
5. Step 5: Solve for x
   x = 955,031,244,049/463,722.50
6. Step 6: Final answer
   x = 2,059,488.69