Finding the Third Proportional to 41,410 and 89,376.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,410 : 89,376.50 = 89,376.50 : x
2. Step 2: Convert to fraction form
   41,410/89,376.50 = 89,376.50/x
3. Step 3: Cross multiply
   41,410x = 89,376.50 × 89,376.50
4. Step 4: Simplify right side
   41,410x = 7,988,158,752.25
5. Step 5: Solve for x
   x = 7,988,158,752.25/41,410
6. Step 6: Final answer
   x = 192,904.10