Finding the Third Proportional to 42,180 and 89,564

Step by Step Solution

1. Step 1: Write the proportion equation
   42,180 : 89,564 = 89,564 : x
2. Step 2: Convert to fraction form
   42,180/89,564 = 89,564/x
3. Step 3: Cross multiply
   42,180x = 89,564 × 89,564
4. Step 4: Simplify right side
   42,180x = 8,021,710,096
5. Step 5: Solve for x
   x = 8,021,710,096/42,180
6. Step 6: Final answer
   x = 190,178.05