Finding the Third Proportional to 91,497.75 and 194,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,497.75 : 194,659.50 = 194,659.50 : x
2. Step 2: Convert to fraction form
   91,497.75/194,659.50 = 194,659.50/x
3. Step 3: Cross multiply
   91,497.75x = 194,659.50 × 194,659.50
4. Step 4: Simplify right side
   91,497.75x = 37,892,320,940.25
5. Step 5: Solve for x
   x = 37,892,320,940.25/91,497.75
6. Step 6: Final answer
   x = 414,133.91