Finding the Third Proportional to 345,936 and 759,978

Step by Step Solution

1. Step 1: Write the proportion equation
   345,936 : 759,978 = 759,978 : x
2. Step 2: Convert to fraction form
   345,936/759,978 = 759,978/x
3. Step 3: Cross multiply
   345,936x = 759,978 × 759,978
4. Step 4: Simplify right side
   345,936x = 577,566,560,484
5. Step 5: Solve for x
   x = 577,566,560,484/345,936
6. Step 6: Final answer
   x = 1,669,576.34