Finding the Third Proportional to 91,449 and 137,172

Step by Step Solution

1. Step 1: Write the proportion equation
   91,449 : 137,172 = 137,172 : x
2. Step 2: Convert to fraction form
   91,449/137,172 = 137,172/x
3. Step 3: Cross multiply
   91,449x = 137,172 × 137,172
4. Step 4: Simplify right side
   91,449x = 18,816,157,584
5. Step 5: Solve for x
   x = 18,816,157,584/91,449
6. Step 6: Final answer
   x = 205,755.75