Finding the Third Proportional to 89,914 and 139,701

Step by Step Solution

1. Step 1: Write the proportion equation
   89,914 : 139,701 = 139,701 : x
2. Step 2: Convert to fraction form
   89,914/139,701 = 139,701/x
3. Step 3: Cross multiply
   89,914x = 139,701 × 139,701
4. Step 4: Simplify right side
   89,914x = 19,516,369,401
5. Step 5: Solve for x
   x = 19,516,369,401/89,914
6. Step 6: Final answer
   x = 217,055.96