Finding the Third Proportional to 80,622 and 123,714

Step by Step Solution

1. Step 1: Write the proportion equation
   80,622 : 123,714 = 123,714 : x
2. Step 2: Convert to fraction form
   80,622/123,714 = 123,714/x
3. Step 3: Cross multiply
   80,622x = 123,714 × 123,714
4. Step 4: Simplify right side
   80,622x = 15,305,153,796
5. Step 5: Solve for x
   x = 15,305,153,796/80,622
6. Step 6: Final answer
   x = 189,838.43