Finding the Third Proportional to 42,580 and 87,894

Step by Step Solution

1. Step 1: Write the proportion equation
   42,580 : 87,894 = 87,894 : x
2. Step 2: Convert to fraction form
   42,580/87,894 = 87,894/x
3. Step 3: Cross multiply
   42,580x = 87,894 × 87,894
4. Step 4: Simplify right side
   42,580x = 7,725,355,236
5. Step 5: Solve for x
   x = 7,725,355,236/42,580
6. Step 6: Final answer
   x = 181,431.55