Finding the Third Proportional to 42,778 and 62,223

Step by Step Solution

1. Step 1: Write the proportion equation
   42,778 : 62,223 = 62,223 : x
2. Step 2: Convert to fraction form
   42,778/62,223 = 62,223/x
3. Step 3: Cross multiply
   42,778x = 62,223 × 62,223
4. Step 4: Simplify right side
   42,778x = 3,871,701,729
5. Step 5: Solve for x
   x = 3,871,701,729/42,778
6. Step 6: Final answer
   x = 90,506.84