Finding the Third Proportional to 89,706 and 142,767

Step by Step Solution

1. Step 1: Write the proportion equation
   89,706 : 142,767 = 142,767 : x
2. Step 2: Convert to fraction form
   89,706/142,767 = 142,767/x
3. Step 3: Cross multiply
   89,706x = 142,767 × 142,767
4. Step 4: Simplify right side
   89,706x = 20,382,416,289
5. Step 5: Solve for x
   x = 20,382,416,289/89,706
6. Step 6: Final answer
   x = 227,213.52