Finding the Third Proportional to 42,466 and 91,852

Step by Step Solution

1. Step 1: Write the proportion equation
   42,466 : 91,852 = 91,852 : x
2. Step 2: Convert to fraction form
   42,466/91,852 = 91,852/x
3. Step 3: Cross multiply
   42,466x = 91,852 × 91,852
4. Step 4: Simplify right side
   42,466x = 8,436,789,904
5. Step 5: Solve for x
   x = 8,436,789,904/42,466
6. Step 6: Final answer
   x = 198,671.64