Finding the Third Proportional to 42,009 and 90,914

Step by Step Solution

1. Step 1: Write the proportion equation
   42,009 : 90,914 = 90,914 : x
2. Step 2: Convert to fraction form
   42,009/90,914 = 90,914/x
3. Step 3: Cross multiply
   42,009x = 90,914 × 90,914
4. Step 4: Simplify right side
   42,009x = 8,265,355,396
5. Step 5: Solve for x
   x = 8,265,355,396/42,009
6. Step 6: Final answer
   x = 196,752.01