Finding the Third Proportional to 41,130 and 89,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,130 : 89,698.50 = 89,698.50 : x
2. Step 2: Convert to fraction form
   41,130/89,698.50 = 89,698.50/x
3. Step 3: Cross multiply
   41,130x = 89,698.50 × 89,698.50
4. Step 4: Simplify right side
   41,130x = 8,045,820,902.25
5. Step 5: Solve for x
   x = 8,045,820,902.25/41,130
6. Step 6: Final answer
   x = 195,619.28