Finding the Third Proportional to 89,305 and 142,158

Step by Step Solution

1. Step 1: Write the proportion equation
   89,305 : 142,158 = 142,158 : x
2. Step 2: Convert to fraction form
   89,305/142,158 = 142,158/x
3. Step 3: Cross multiply
   89,305x = 142,158 × 142,158
4. Step 4: Simplify right side
   89,305x = 20,208,896,964
5. Step 5: Solve for x
   x = 20,208,896,964/89,305
6. Step 6: Final answer
   x = 226,290.77