Finding the Third Proportional to 89,868 and 140,964

Step by Step Solution

1. Step 1: Write the proportion equation
   89,868 : 140,964 = 140,964 : x
2. Step 2: Convert to fraction form
   89,868/140,964 = 140,964/x
3. Step 3: Cross multiply
   89,868x = 140,964 × 140,964
4. Step 4: Simplify right side
   89,868x = 19,870,849,296
5. Step 5: Solve for x
   x = 19,870,849,296/89,868
6. Step 6: Final answer
   x = 221,111.51