Finding the Third Proportional to 42,778 and 89,444

Step by Step Solution

1. Step 1: Write the proportion equation
   42,778 : 89,444 = 89,444 : x
2. Step 2: Convert to fraction form
   42,778/89,444 = 89,444/x
3. Step 3: Cross multiply
   42,778x = 89,444 × 89,444
4. Step 4: Simplify right side
   42,778x = 8,000,229,136
5. Step 5: Solve for x
   x = 8,000,229,136/42,778
6. Step 6: Final answer
   x = 187,017.37