Finding the Third Proportional to 42,631 and 89,680

Step by Step Solution

1. Step 1: Write the proportion equation
   42,631 : 89,680 = 89,680 : x
2. Step 2: Convert to fraction form
   42,631/89,680 = 89,680/x
3. Step 3: Cross multiply
   42,631x = 89,680 × 89,680
4. Step 4: Simplify right side
   42,631x = 8,042,502,400
5. Step 5: Solve for x
   x = 8,042,502,400/42,631
6. Step 6: Final answer
   x = 188,653.85