Finding the Third Proportional to 42,562 and 91,442

Step by Step Solution

1. Step 1: Write the proportion equation
   42,562 : 91,442 = 91,442 : x
2. Step 2: Convert to fraction form
   42,562/91,442 = 91,442/x
3. Step 3: Cross multiply
   42,562x = 91,442 × 91,442
4. Step 4: Simplify right side
   42,562x = 8,361,639,364
5. Step 5: Solve for x
   x = 8,361,639,364/42,562
6. Step 6: Final answer
   x = 196,457.86