Finding the Third Proportional to 41,692.50 and 91,172.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,692.50 : 91,172.25 = 91,172.25 : x
2. Step 2: Convert to fraction form
   41,692.50/91,172.25 = 91,172.25/x
3. Step 3: Cross multiply
   41,692.50x = 91,172.25 × 91,172.25
4. Step 4: Simplify right side
   41,692.50x = 8,312,379,170.06
5. Step 5: Solve for x
   x = 8,312,379,170.06/41,692.50
6. Step 6: Final answer
   x = 199,373.49