Finding the Third Proportional to 83,152 and 158,642

Step by Step Solution

1. Step 1: Write the proportion equation
   83,152 : 158,642 = 158,642 : x
2. Step 2: Convert to fraction form
   83,152/158,642 = 158,642/x
3. Step 3: Cross multiply
   83,152x = 158,642 × 158,642
4. Step 4: Simplify right side
   83,152x = 25,167,284,164
5. Step 5: Solve for x
   x = 25,167,284,164/83,152
6. Step 6: Final answer
   x = 302,666.01