Finding the Third Proportional to 41,388 and 89,688

Step by Step Solution

1. Step 1: Write the proportion equation
   41,388 : 89,688 = 89,688 : x
2. Step 2: Convert to fraction form
   41,388/89,688 = 89,688/x
3. Step 3: Cross multiply
   41,388x = 89,688 × 89,688
4. Step 4: Simplify right side
   41,388x = 8,043,937,344
5. Step 5: Solve for x
   x = 8,043,937,344/41,388
6. Step 6: Final answer
   x = 194,354.34