Finding the Third Proportional to 79,610 and 174,538

Step by Step Solution

1. Step 1: Write the proportion equation
   79,610 : 174,538 = 174,538 : x
2. Step 2: Convert to fraction form
   79,610/174,538 = 174,538/x
3. Step 3: Cross multiply
   79,610x = 174,538 × 174,538
4. Step 4: Simplify right side
   79,610x = 30,463,513,444
5. Step 5: Solve for x
   x = 30,463,513,444/79,610
6. Step 6: Final answer
   x = 382,659.38