Finding the Third Proportional to 53,354 and 123,665

Step by Step Solution

1. Step 1: Write the proportion equation
   53,354 : 123,665 = 123,665 : x
2. Step 2: Convert to fraction form
   53,354/123,665 = 123,665/x
3. Step 3: Cross multiply
   53,354x = 123,665 × 123,665
4. Step 4: Simplify right side
   53,354x = 15,293,032,225
5. Step 5: Solve for x
   x = 15,293,032,225/53,354
6. Step 6: Final answer
   x = 286,633.28