Finding the Third Proportional to 74,788 and 158,016

Step by Step Solution

1. Step 1: Write the proportion equation
   74,788 : 158,016 = 158,016 : x
2. Step 2: Convert to fraction form
   74,788/158,016 = 158,016/x
3. Step 3: Cross multiply
   74,788x = 158,016 × 158,016
4. Step 4: Simplify right side
   74,788x = 24,969,056,256
5. Step 5: Solve for x
   x = 24,969,056,256/74,788
6. Step 6: Final answer
   x = 333,864.47