Finding the Third Proportional to 91,172 and 137,974

Step by Step Solution

1. Step 1: Write the proportion equation
   91,172 : 137,974 = 137,974 : x
2. Step 2: Convert to fraction form
   91,172/137,974 = 137,974/x
3. Step 3: Cross multiply
   91,172x = 137,974 × 137,974
4. Step 4: Simplify right side
   91,172x = 19,036,824,676
5. Step 5: Solve for x
   x = 19,036,824,676/91,172
6. Step 6: Final answer
   x = 208,801.22