Finding the Third Proportional to 89,233 and 200,936.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,233 : 200,936.50 = 200,936.50 : x
2. Step 2: Convert to fraction form
   89,233/200,936.50 = 200,936.50/x
3. Step 3: Cross multiply
   89,233x = 200,936.50 × 200,936.50
4. Step 4: Simplify right side
   89,233x = 40,375,477,032.25
5. Step 5: Solve for x
   x = 40,375,477,032.25/89,233
6. Step 6: Final answer
   x = 452,472.48