Finding the Third Proportional to 312,726 and 737,499

Step by Step Solution

1. Step 1: Write the proportion equation
   312,726 : 737,499 = 737,499 : x
2. Step 2: Convert to fraction form
   312,726/737,499 = 737,499/x
3. Step 3: Cross multiply
   312,726x = 737,499 × 737,499
4. Step 4: Simplify right side
   312,726x = 543,904,775,001
5. Step 5: Solve for x
   x = 543,904,775,001/312,726
6. Step 6: Final answer
   x = 1,739,237.46