Finding the Third Proportional to 92,367 and 199,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,367 : 199,468.50 = 199,468.50 : x
2. Step 2: Convert to fraction form
   92,367/199,468.50 = 199,468.50/x
3. Step 3: Cross multiply
   92,367x = 199,468.50 × 199,468.50
4. Step 4: Simplify right side
   92,367x = 39,787,682,492.25
5. Step 5: Solve for x
   x = 39,787,682,492.25/92,367
6. Step 6: Final answer
   x = 430,756.47