Finding the Third Proportional to 42,361 and 90,538

Step by Step Solution

1. Step 1: Write the proportion equation
   42,361 : 90,538 = 90,538 : x
2. Step 2: Convert to fraction form
   42,361/90,538 = 90,538/x
3. Step 3: Cross multiply
   42,361x = 90,538 × 90,538
4. Step 4: Simplify right side
   42,361x = 8,197,129,444
5. Step 5: Solve for x
   x = 8,197,129,444/42,361
6. Step 6: Final answer
   x = 193,506.51