Finding the Third Proportional to 262,254 and 546,648

Step by Step Solution

1. Step 1: Write the proportion equation
   262,254 : 546,648 = 546,648 : x
2. Step 2: Convert to fraction form
   262,254/546,648 = 546,648/x
3. Step 3: Cross multiply
   262,254x = 546,648 × 546,648
4. Step 4: Simplify right side
   262,254x = 298,824,035,904
5. Step 5: Solve for x
   x = 298,824,035,904/262,254
6. Step 6: Final answer
   x = 1,139,445.10