Finding the Third Proportional to 42,658 and 89,758

Step by Step Solution

1. Step 1: Write the proportion equation
   42,658 : 89,758 = 89,758 : x
2. Step 2: Convert to fraction form
   42,658/89,758 = 89,758/x
3. Step 3: Cross multiply
   42,658x = 89,758 × 89,758
4. Step 4: Simplify right side
   42,658x = 8,056,498,564
5. Step 5: Solve for x
   x = 8,056,498,564/42,658
6. Step 6: Final answer
   x = 188,862.55