Finding the Third Proportional to 91,576 and 190,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,576 : 190,167.50 = 190,167.50 : x
2. Step 2: Convert to fraction form
   91,576/190,167.50 = 190,167.50/x
3. Step 3: Cross multiply
   91,576x = 190,167.50 × 190,167.50
4. Step 4: Simplify right side
   91,576x = 36,163,678,056.25
5. Step 5: Solve for x
   x = 36,163,678,056.25/91,576
6. Step 6: Final answer
   x = 394,903.45