Finding the Third Proportional to 41,205.50 and 88,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,205.50 : 88,242.50 = 88,242.50 : x
2. Step 2: Convert to fraction form
   41,205.50/88,242.50 = 88,242.50/x
3. Step 3: Cross multiply
   41,205.50x = 88,242.50 × 88,242.50
4. Step 4: Simplify right side
   41,205.50x = 7,786,738,806.25
5. Step 5: Solve for x
   x = 7,786,738,806.25/41,205.50
6. Step 6: Final answer
   x = 188,973.29