Finding the Third Proportional to 42,508 and 91,406

Step by Step Solution

1. Step 1: Write the proportion equation
   42,508 : 91,406 = 91,406 : x
2. Step 2: Convert to fraction form
   42,508/91,406 = 91,406/x
3. Step 3: Cross multiply
   42,508x = 91,406 × 91,406
4. Step 4: Simplify right side
   42,508x = 8,355,056,836
5. Step 5: Solve for x
   x = 8,355,056,836/42,508
6. Step 6: Final answer
   x = 196,552.57