Finding the Third Proportional to 89,972 and 139,014

Step by Step Solution

1. Step 1: Write the proportion equation
   89,972 : 139,014 = 139,014 : x
2. Step 2: Convert to fraction form
   89,972/139,014 = 139,014/x
3. Step 3: Cross multiply
   89,972x = 139,014 × 139,014
4. Step 4: Simplify right side
   89,972x = 19,324,892,196
5. Step 5: Solve for x
   x = 19,324,892,196/89,972
6. Step 6: Final answer
   x = 214,787.85