Finding the Third Proportional to 81,653 and 174,970

Step by Step Solution

1. Step 1: Write the proportion equation
   81,653 : 174,970 = 174,970 : x
2. Step 2: Convert to fraction form
   81,653/174,970 = 174,970/x
3. Step 3: Cross multiply
   81,653x = 174,970 × 174,970
4. Step 4: Simplify right side
   81,653x = 30,614,500,900
5. Step 5: Solve for x
   x = 30,614,500,900/81,653
6. Step 6: Final answer
   x = 374,934.18