Finding the Third Proportional to 57,456 and 89,172

Step by Step Solution

1. Step 1: Write the proportion equation
   57,456 : 89,172 = 89,172 : x
2. Step 2: Convert to fraction form
   57,456/89,172 = 89,172/x
3. Step 3: Cross multiply
   57,456x = 89,172 × 89,172
4. Step 4: Simplify right side
   57,456x = 7,951,645,584
5. Step 5: Solve for x
   x = 7,951,645,584/57,456
6. Step 6: Final answer
   x = 138,395.39