Finding the Third Proportional to 82,241 and 175,714

Step by Step Solution

1. Step 1: Write the proportion equation
   82,241 : 175,714 = 175,714 : x
2. Step 2: Convert to fraction form
   82,241/175,714 = 175,714/x
3. Step 3: Cross multiply
   82,241x = 175,714 × 175,714
4. Step 4: Simplify right side
   82,241x = 30,875,409,796
5. Step 5: Solve for x
   x = 30,875,409,796/82,241
6. Step 6: Final answer
   x = 375,426.00