Finding the Third Proportional to 91,016 and 137,796

Step by Step Solution

1. Step 1: Write the proportion equation
   91,016 : 137,796 = 137,796 : x
2. Step 2: Convert to fraction form
   91,016/137,796 = 137,796/x
3. Step 3: Cross multiply
   91,016x = 137,796 × 137,796
4. Step 4: Simplify right side
   91,016x = 18,987,737,616
5. Step 5: Solve for x
   x = 18,987,737,616/91,016
6. Step 6: Final answer
   x = 208,619.78