Finding the Third Proportional to 91,162 and 137,960

Step by Step Solution

1. Step 1: Write the proportion equation
   91,162 : 137,960 = 137,960 : x
2. Step 2: Convert to fraction form
   91,162/137,960 = 137,960/x
3. Step 3: Cross multiply
   91,162x = 137,960 × 137,960
4. Step 4: Simplify right side
   91,162x = 19,032,961,600
5. Step 5: Solve for x
   x = 19,032,961,600/91,162
6. Step 6: Final answer
   x = 208,781.75