Finding the Third Proportional to 91,738 and 137,180

Step by Step Solution

1. Step 1: Write the proportion equation
   91,738 : 137,180 = 137,180 : x
2. Step 2: Convert to fraction form
   91,738/137,180 = 137,180/x
3. Step 3: Cross multiply
   91,738x = 137,180 × 137,180
4. Step 4: Simplify right side
   91,738x = 18,818,352,400
5. Step 5: Solve for x
   x = 18,818,352,400/91,738
6. Step 6: Final answer
   x = 205,131.49