Finding the Third Proportional to 91,578 and 190,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,578 : 190,171.50 = 190,171.50 : x
2. Step 2: Convert to fraction form
   91,578/190,171.50 = 190,171.50/x
3. Step 3: Cross multiply
   91,578x = 190,171.50 × 190,171.50
4. Step 4: Simplify right side
   91,578x = 36,165,199,412.25
5. Step 5: Solve for x
   x = 36,165,199,412.25/91,578
6. Step 6: Final answer
   x = 394,911.44