Finding the Third Proportional to 42,456 and 89,558

Step by Step Solution

1. Step 1: Write the proportion equation
   42,456 : 89,558 = 89,558 : x
2. Step 2: Convert to fraction form
   42,456/89,558 = 89,558/x
3. Step 3: Cross multiply
   42,456x = 89,558 × 89,558
4. Step 4: Simplify right side
   42,456x = 8,020,635,364
5. Step 5: Solve for x
   x = 8,020,635,364/42,456
6. Step 6: Final answer
   x = 188,916.42