Finding the Third Proportional to 208,510 and 345,116

Step by Step Solution

1. Step 1: Write the proportion equation
   208,510 : 345,116 = 345,116 : x
2. Step 2: Convert to fraction form
   208,510/345,116 = 345,116/x
3. Step 3: Cross multiply
   208,510x = 345,116 × 345,116
4. Step 4: Simplify right side
   208,510x = 119,105,053,456
5. Step 5: Solve for x
   x = 119,105,053,456/208,510
6. Step 6: Final answer
   x = 571,219.86