Finding the Third Proportional to 91,749.38 and 194,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,749.38 : 194,524.50 = 194,524.50 : x
2. Step 2: Convert to fraction form
   91,749.38/194,524.50 = 194,524.50/x
3. Step 3: Cross multiply
   91,749.38x = 194,524.50 × 194,524.50
4. Step 4: Simplify right side
   91,749.38x = 37,839,781,100.25
5. Step 5: Solve for x
   x = 37,839,781,100.25/91,749.38
6. Step 6: Final answer
   x = 412,425.49