Finding the Third Proportional to 40,970 and 89,356

Step by Step Solution

1. Step 1: Write the proportion equation
   40,970 : 89,356 = 89,356 : x
2. Step 2: Convert to fraction form
   40,970/89,356 = 89,356/x
3. Step 3: Cross multiply
   40,970x = 89,356 × 89,356
4. Step 4: Simplify right side
   40,970x = 7,984,494,736
5. Step 5: Solve for x
   x = 7,984,494,736/40,970
6. Step 6: Final answer
   x = 194,886.37