Finding the Third Proportional to 342,288 and 514,494

Step by Step Solution

1. Step 1: Write the proportion equation
   342,288 : 514,494 = 514,494 : x
2. Step 2: Convert to fraction form
   342,288/514,494 = 514,494/x
3. Step 3: Cross multiply
   342,288x = 514,494 × 514,494
4. Step 4: Simplify right side
   342,288x = 264,704,076,036
5. Step 5: Solve for x
   x = 264,704,076,036/342,288
6. Step 6: Final answer
   x = 773,337.30