Finding the Third Proportional to 57,735 and 123,822

Step by Step Solution

1. Step 1: Write the proportion equation
   57,735 : 123,822 = 123,822 : x
2. Step 2: Convert to fraction form
   57,735/123,822 = 123,822/x
3. Step 3: Cross multiply
   57,735x = 123,822 × 123,822
4. Step 4: Simplify right side
   57,735x = 15,331,887,684
5. Step 5: Solve for x
   x = 15,331,887,684/57,735
6. Step 6: Final answer
   x = 265,556.21