Finding the Third Proportional to 79,298.75 and 174,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,298.75 : 174,369.50 = 174,369.50 : x
2. Step 2: Convert to fraction form
   79,298.75/174,369.50 = 174,369.50/x
3. Step 3: Cross multiply
   79,298.75x = 174,369.50 × 174,369.50
4. Step 4: Simplify right side
   79,298.75x = 30,404,722,530.25
5. Step 5: Solve for x
   x = 30,404,722,530.25/79,298.75
6. Step 6: Final answer
   x = 383,419.95