Finding the Third Proportional to 89,764 and 139,386

Step by Step Solution

1. Step 1: Write the proportion equation
   89,764 : 139,386 = 139,386 : x
2. Step 2: Convert to fraction form
   89,764/139,386 = 139,386/x
3. Step 3: Cross multiply
   89,764x = 139,386 × 139,386
4. Step 4: Simplify right side
   89,764x = 19,428,456,996
5. Step 5: Solve for x
   x = 19,428,456,996/89,764
6. Step 6: Final answer
   x = 216,439.30