Finding the Third Proportional to 40,414 and 88,766

Step by Step Solution

1. Step 1: Write the proportion equation
   40,414 : 88,766 = 88,766 : x
2. Step 2: Convert to fraction form
   40,414/88,766 = 88,766/x
3. Step 3: Cross multiply
   40,414x = 88,766 × 88,766
4. Step 4: Simplify right side
   40,414x = 7,879,402,756
5. Step 5: Solve for x
   x = 7,879,402,756/40,414
6. Step 6: Final answer
   x = 194,967.16