Finding the Third Proportional to 41,537 and 88,513

Step by Step Solution

1. Step 1: Write the proportion equation
   41,537 : 88,513 = 88,513 : x
2. Step 2: Convert to fraction form
   41,537/88,513 = 88,513/x
3. Step 3: Cross multiply
   41,537x = 88,513 × 88,513
4. Step 4: Simplify right side
   41,537x = 7,834,551,169
5. Step 5: Solve for x
   x = 7,834,551,169/41,537
6. Step 6: Final answer
   x = 188,616.20