Finding the Third Proportional to 498,264 and 773,650

Step by Step Solution

1. Step 1: Write the proportion equation
   498,264 : 773,650 = 773,650 : x
2. Step 2: Convert to fraction form
   498,264/773,650 = 773,650/x
3. Step 3: Cross multiply
   498,264x = 773,650 × 773,650
4. Step 4: Simplify right side
   498,264x = 598,534,322,500
5. Step 5: Solve for x
   x = 598,534,322,500/498,264
6. Step 6: Final answer
   x = 1,201,239.35