Finding the Third Proportional to 41,374.50 and 89,310.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,374.50 : 89,310.50 = 89,310.50 : x
2. Step 2: Convert to fraction form
   41,374.50/89,310.50 = 89,310.50/x
3. Step 3: Cross multiply
   41,374.50x = 89,310.50 × 89,310.50
4. Step 4: Simplify right side
   41,374.50x = 7,976,365,410.25
5. Step 5: Solve for x
   x = 7,976,365,410.25/41,374.50
6. Step 6: Final answer
   x = 192,784.58