Finding the Third Proportional to 89,728.50 and 194,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,728.50 : 194,311.50 = 194,311.50 : x
2. Step 2: Convert to fraction form
   89,728.50/194,311.50 = 194,311.50/x
3. Step 3: Cross multiply
   89,728.50x = 194,311.50 × 194,311.50
4. Step 4: Simplify right side
   89,728.50x = 37,756,959,032.25
5. Step 5: Solve for x
   x = 37,756,959,032.25/89,728.50
6. Step 6: Final answer
   x = 420,791.15