Finding the Third Proportional to 345,978 and 760,116

Step by Step Solution

1. Step 1: Write the proportion equation
   345,978 : 760,116 = 760,116 : x
2. Step 2: Convert to fraction form
   345,978/760,116 = 760,116/x
3. Step 3: Cross multiply
   345,978x = 760,116 × 760,116
4. Step 4: Simplify right side
   345,978x = 577,776,333,456
5. Step 5: Solve for x
   x = 577,776,333,456/345,978
6. Step 6: Final answer
   x = 1,669,979.98