Finding the Third Proportional to 42,147 and 91,908

Step by Step Solution

1. Step 1: Write the proportion equation
   42,147 : 91,908 = 91,908 : x
2. Step 2: Convert to fraction form
   42,147/91,908 = 91,908/x
3. Step 3: Cross multiply
   42,147x = 91,908 × 91,908
4. Step 4: Simplify right side
   42,147x = 8,447,080,464
5. Step 5: Solve for x
   x = 8,447,080,464/42,147
6. Step 6: Final answer
   x = 200,419.50