Finding the Third Proportional to 33,880 and 89,929

Step by Step Solution

1. Step 1: Write the proportion equation
   33,880 : 89,929 = 89,929 : x
2. Step 2: Convert to fraction form
   33,880/89,929 = 89,929/x
3. Step 3: Cross multiply
   33,880x = 89,929 × 89,929
4. Step 4: Simplify right side
   33,880x = 8,087,225,041
5. Step 5: Solve for x
   x = 8,087,225,041/33,880
6. Step 6: Final answer
   x = 238,702.04