Finding the Third Proportional to 79,674.75 and 174,657.38

Step by Step Solution

1. Step 1: Write the proportion equation
   79,674.75 : 174,657.38 = 174,657.38 : x
2. Step 2: Convert to fraction form
   79,674.75/174,657.38 = 174,657.38/x
3. Step 3: Cross multiply
   79,674.75x = 174,657.38 × 174,657.38
4. Step 4: Simplify right side
   79,674.75x = 30,505,198,641.89
5. Step 5: Solve for x
   x = 30,505,198,641.89/79,674.75
6. Step 6: Final answer
   x = 382,871.60