Finding the Third Proportional to 79,996.50 and 185,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,996.50 : 185,197.50 = 185,197.50 : x
2. Step 2: Convert to fraction form
   79,996.50/185,197.50 = 185,197.50/x
3. Step 3: Cross multiply
   79,996.50x = 185,197.50 × 185,197.50
4. Step 4: Simplify right side
   79,996.50x = 34,298,114,006.25
5. Step 5: Solve for x
   x = 34,298,114,006.25/79,996.50
6. Step 6: Final answer
   x = 428,745.18