Finding the Third Proportional to 41,688 and 88,842

Step by Step Solution

1. Step 1: Write the proportion equation
   41,688 : 88,842 = 88,842 : x
2. Step 2: Convert to fraction form
   41,688/88,842 = 88,842/x
3. Step 3: Cross multiply
   41,688x = 88,842 × 88,842
4. Step 4: Simplify right side
   41,688x = 7,892,900,964
5. Step 5: Solve for x
   x = 7,892,900,964/41,688
6. Step 6: Final answer
   x = 189,332.68