Finding the Third Proportional to 91,082 and 137,894

Step by Step Solution

1. Step 1: Write the proportion equation
   91,082 : 137,894 = 137,894 : x
2. Step 2: Convert to fraction form
   91,082/137,894 = 137,894/x
3. Step 3: Cross multiply
   91,082x = 137,894 × 137,894
4. Step 4: Simplify right side
   91,082x = 19,014,755,236
5. Step 5: Solve for x
   x = 19,014,755,236/91,082
6. Step 6: Final answer
   x = 208,765.24