Finding the Third Proportional to 89,910 and 142,884

Step by Step Solution

1. Step 1: Write the proportion equation
   89,910 : 142,884 = 142,884 : x
2. Step 2: Convert to fraction form
   89,910/142,884 = 142,884/x
3. Step 3: Cross multiply
   89,910x = 142,884 × 142,884
4. Step 4: Simplify right side
   89,910x = 20,415,837,456
5. Step 5: Solve for x
   x = 20,415,837,456/89,910
6. Step 6: Final answer
   x = 227,069.71