Finding the Third Proportional to 41,374 and 89,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,374 : 89,309.50 = 89,309.50 : x
2. Step 2: Convert to fraction form
   41,374/89,309.50 = 89,309.50/x
3. Step 3: Cross multiply
   41,374x = 89,309.50 × 89,309.50
4. Step 4: Simplify right side
   41,374x = 7,976,186,790.25
5. Step 5: Solve for x
   x = 7,976,186,790.25/41,374
6. Step 6: Final answer
   x = 192,782.59