Finding the Third Proportional to 42,147 and 89,235

Step by Step Solution

1. Step 1: Write the proportion equation
   42,147 : 89,235 = 89,235 : x
2. Step 2: Convert to fraction form
   42,147/89,235 = 89,235/x
3. Step 3: Cross multiply
   42,147x = 89,235 × 89,235
4. Step 4: Simplify right side
   42,147x = 7,962,885,225
5. Step 5: Solve for x
   x = 7,962,885,225/42,147
6. Step 6: Final answer
   x = 188,931.25