Finding the Third Proportional to 80,503.88 and 174,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,503.88 : 174,838.50 = 174,838.50 : x
2. Step 2: Convert to fraction form
   80,503.88/174,838.50 = 174,838.50/x
3. Step 3: Cross multiply
   80,503.88x = 174,838.50 × 174,838.50
4. Step 4: Simplify right side
   80,503.88x = 30,568,501,082.25
5. Step 5: Solve for x
   x = 30,568,501,082.25/80,503.88
6. Step 6: Final answer
   x = 379,714.65