Finding the Third Proportional to 41,922 and 88,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,922 : 88,537.50 = 88,537.50 : x
2. Step 2: Convert to fraction form
   41,922/88,537.50 = 88,537.50/x
3. Step 3: Cross multiply
   41,922x = 88,537.50 × 88,537.50
4. Step 4: Simplify right side
   41,922x = 7,838,888,906.25
5. Step 5: Solve for x
   x = 7,838,888,906.25/41,922
6. Step 6: Final answer
   x = 186,987.47