Finding the Third Proportional to 79,654 and 174,608

Step by Step Solution

1. Step 1: Write the proportion equation
   79,654 : 174,608 = 174,608 : x
2. Step 2: Convert to fraction form
   79,654/174,608 = 174,608/x
3. Step 3: Cross multiply
   79,654x = 174,608 × 174,608
4. Step 4: Simplify right side
   79,654x = 30,487,953,664
5. Step 5: Solve for x
   x = 30,487,953,664/79,654
6. Step 6: Final answer
   x = 382,754.84