Finding the Third Proportional to 42,890 and 91,444

Step by Step Solution

1. Step 1: Write the proportion equation
   42,890 : 91,444 = 91,444 : x
2. Step 2: Convert to fraction form
   42,890/91,444 = 91,444/x
3. Step 3: Cross multiply
   42,890x = 91,444 × 91,444
4. Step 4: Simplify right side
   42,890x = 8,362,005,136
5. Step 5: Solve for x
   x = 8,362,005,136/42,890
6. Step 6: Final answer
   x = 194,963.98