Finding the Third Proportional to 89,765 and 139,388

Step by Step Solution

1. Step 1: Write the proportion equation
   89,765 : 139,388 = 139,388 : x
2. Step 2: Convert to fraction form
   89,765/139,388 = 139,388/x
3. Step 3: Cross multiply
   89,765x = 139,388 × 139,388
4. Step 4: Simplify right side
   89,765x = 19,429,014,544
5. Step 5: Solve for x
   x = 19,429,014,544/89,765
6. Step 6: Final answer
   x = 216,443.10