Finding the Third Proportional to 41,715 and 86,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,715 : 86,197.50 = 86,197.50 : x
2. Step 2: Convert to fraction form
   41,715/86,197.50 = 86,197.50/x
3. Step 3: Cross multiply
   41,715x = 86,197.50 × 86,197.50
4. Step 4: Simplify right side
   41,715x = 7,430,009,006.25
5. Step 5: Solve for x
   x = 7,430,009,006.25/41,715
6. Step 6: Final answer
   x = 178,113.60