Finding the Third Proportional to 57,546 and 123,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,546 : 123,085.50 = 123,085.50 : x
2. Step 2: Convert to fraction form
   57,546/123,085.50 = 123,085.50/x
3. Step 3: Cross multiply
   57,546x = 123,085.50 × 123,085.50
4. Step 4: Simplify right side
   57,546x = 15,150,040,310.25
5. Step 5: Solve for x
   x = 15,150,040,310.25/57,546
6. Step 6: Final answer
   x = 263,268.35