Finding the Third Proportional to 42,740 and 91,288

Step by Step Solution

1. Step 1: Write the proportion equation
   42,740 : 91,288 = 91,288 : x
2. Step 2: Convert to fraction form
   42,740/91,288 = 91,288/x
3. Step 3: Cross multiply
   42,740x = 91,288 × 91,288
4. Step 4: Simplify right side
   42,740x = 8,333,498,944
5. Step 5: Solve for x
   x = 8,333,498,944/42,740
6. Step 6: Final answer
   x = 194,981.26