Finding the Third Proportional to 89,157 and 194,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,157 : 194,306.50 = 194,306.50 : x
2. Step 2: Convert to fraction form
   89,157/194,306.50 = 194,306.50/x
3. Step 3: Cross multiply
   89,157x = 194,306.50 × 194,306.50
4. Step 4: Simplify right side
   89,157x = 37,755,015,942.25
5. Step 5: Solve for x
   x = 37,755,015,942.25/89,157
6. Step 6: Final answer
   x = 423,466.65