Finding the Third Proportional to 89,325 and 142,188

Step by Step Solution

1. Step 1: Write the proportion equation
   89,325 : 142,188 = 142,188 : x
2. Step 2: Convert to fraction form
   89,325/142,188 = 142,188/x
3. Step 3: Cross multiply
   89,325x = 142,188 × 142,188
4. Step 4: Simplify right side
   89,325x = 20,217,427,344
5. Step 5: Solve for x
   x = 20,217,427,344/89,325
6. Step 6: Final answer
   x = 226,335.60