Finding the Third Proportional to 81,420 and 175,116

Step by Step Solution

1. Step 1: Write the proportion equation
   81,420 : 175,116 = 175,116 : x
2. Step 2: Convert to fraction form
   81,420/175,116 = 175,116/x
3. Step 3: Cross multiply
   81,420x = 175,116 × 175,116
4. Step 4: Simplify right side
   81,420x = 30,665,613,456
5. Step 5: Solve for x
   x = 30,665,613,456/81,420
6. Step 6: Final answer
   x = 376,634.90