Finding the Third Proportional to 41,782.50 and 88,218

Step by Step Solution

1. Step 1: Write the proportion equation
   41,782.50 : 88,218 = 88,218 : x
2. Step 2: Convert to fraction form
   41,782.50/88,218 = 88,218/x
3. Step 3: Cross multiply
   41,782.50x = 88,218 × 88,218
4. Step 4: Simplify right side
   41,782.50x = 7,782,415,524
5. Step 5: Solve for x
   x = 7,782,415,524/41,782.50
6. Step 6: Final answer
   x = 186,260.17