Finding the Third Proportional to 36,849 and 86,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,849 : 86,620.50 = 86,620.50 : x
2. Step 2: Convert to fraction form
   36,849/86,620.50 = 86,620.50/x
3. Step 3: Cross multiply
   36,849x = 86,620.50 × 86,620.50
4. Step 4: Simplify right side
   36,849x = 7,503,111,020.25
5. Step 5: Solve for x
   x = 7,503,111,020.25/36,849
6. Step 6: Final answer
   x = 203,617.76