Finding the Third Proportional to 80,488.50 and 174,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,488.50 : 174,814.50 = 174,814.50 : x
2. Step 2: Convert to fraction form
   80,488.50/174,814.50 = 174,814.50/x
3. Step 3: Cross multiply
   80,488.50x = 174,814.50 × 174,814.50
4. Step 4: Simplify right side
   80,488.50x = 30,560,109,410.25
5. Step 5: Solve for x
   x = 30,560,109,410.25/80,488.50
6. Step 6: Final answer
   x = 379,682.93