Finding the Third Proportional to 91,003.50 and 194,379.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,003.50 : 194,379.75 = 194,379.75 : x
2. Step 2: Convert to fraction form
   91,003.50/194,379.75 = 194,379.75/x
3. Step 3: Cross multiply
   91,003.50x = 194,379.75 × 194,379.75
4. Step 4: Simplify right side
   91,003.50x = 37,783,487,210.06
5. Step 5: Solve for x
   x = 37,783,487,210.06/91,003.50
6. Step 6: Final answer
   x = 415,187.19