Finding the Third Proportional to 91,166 and 137,966

Step by Step Solution

1. Step 1: Write the proportion equation
   91,166 : 137,966 = 137,966 : x
2. Step 2: Convert to fraction form
   91,166/137,966 = 137,966/x
3. Step 3: Cross multiply
   91,166x = 137,966 × 137,966
4. Step 4: Simplify right side
   91,166x = 19,034,617,156
5. Step 5: Solve for x
   x = 19,034,617,156/91,166
6. Step 6: Final answer
   x = 208,790.75