Finding the Third Proportional to 42,633 and 89,685

Step by Step Solution

1. Step 1: Write the proportion equation
   42,633 : 89,685 = 89,685 : x
2. Step 2: Convert to fraction form
   42,633/89,685 = 89,685/x
3. Step 3: Cross multiply
   42,633x = 89,685 × 89,685
4. Step 4: Simplify right side
   42,633x = 8,043,399,225
5. Step 5: Solve for x
   x = 8,043,399,225/42,633
6. Step 6: Final answer
   x = 188,666.04