Finding the Third Proportional to 82,109.25 and 177,714

Step by Step Solution

1. Step 1: Write the proportion equation
   82,109.25 : 177,714 = 177,714 : x
2. Step 2: Convert to fraction form
   82,109.25/177,714 = 177,714/x
3. Step 3: Cross multiply
   82,109.25x = 177,714 × 177,714
4. Step 4: Simplify right side
   82,109.25x = 31,582,265,796
5. Step 5: Solve for x
   x = 31,582,265,796/82,109.25
6. Step 6: Final answer
   x = 384,637.12