Finding the Third Proportional to 42,264 and 85,689

Step by Step Solution

1. Step 1: Write the proportion equation
   42,264 : 85,689 = 85,689 : x
2. Step 2: Convert to fraction form
   42,264/85,689 = 85,689/x
3. Step 3: Cross multiply
   42,264x = 85,689 × 85,689
4. Step 4: Simplify right side
   42,264x = 7,342,604,721
5. Step 5: Solve for x
   x = 7,342,604,721/42,264
6. Step 6: Final answer
   x = 173,731.89