Finding the Third Proportional to 83,149 and 158,643

Step by Step Solution

1. Step 1: Write the proportion equation
   83,149 : 158,643 = 158,643 : x
2. Step 2: Convert to fraction form
   83,149/158,643 = 158,643/x
3. Step 3: Cross multiply
   83,149x = 158,643 × 158,643
4. Step 4: Simplify right side
   83,149x = 25,167,601,449
5. Step 5: Solve for x
   x = 25,167,601,449/83,149
6. Step 6: Final answer
   x = 302,680.75