Finding the Third Proportional to 57,123 and 85,348

Step by Step Solution

1. Step 1: Write the proportion equation
   57,123 : 85,348 = 85,348 : x
2. Step 2: Convert to fraction form
   57,123/85,348 = 85,348/x
3. Step 3: Cross multiply
   57,123x = 85,348 × 85,348
4. Step 4: Simplify right side
   57,123x = 7,284,281,104
5. Step 5: Solve for x
   x = 7,284,281,104/57,123
6. Step 6: Final answer
   x = 127,519.23