Finding the Third Proportional to 41,566.50 and 91,878.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,566.50 : 91,878.75 = 91,878.75 : x
2. Step 2: Convert to fraction form
   41,566.50/91,878.75 = 91,878.75/x
3. Step 3: Cross multiply
   41,566.50x = 91,878.75 × 91,878.75
4. Step 4: Simplify right side
   41,566.50x = 8,441,704,701.56
5. Step 5: Solve for x
   x = 8,441,704,701.56/41,566.50
6. Step 6: Final answer
   x = 203,089.14