Finding the Third Proportional to 40,642 and 88,736

Step by Step Solution

1. Step 1: Write the proportion equation
   40,642 : 88,736 = 88,736 : x
2. Step 2: Convert to fraction form
   40,642/88,736 = 88,736/x
3. Step 3: Cross multiply
   40,642x = 88,736 × 88,736
4. Step 4: Simplify right side
   40,642x = 7,874,077,696
5. Step 5: Solve for x
   x = 7,874,077,696/40,642
6. Step 6: Final answer
   x = 193,742.38