Finding the Third Proportional to 82,409 and 174,933

Step by Step Solution

1. Step 1: Write the proportion equation
   82,409 : 174,933 = 174,933 : x
2. Step 2: Convert to fraction form
   82,409/174,933 = 174,933/x
3. Step 3: Cross multiply
   82,409x = 174,933 × 174,933
4. Step 4: Simplify right side
   82,409x = 30,601,554,489
5. Step 5: Solve for x
   x = 30,601,554,489/82,409
6. Step 6: Final answer
   x = 371,337.53