Finding the Third Proportional to 91,065 and 142,557

Step by Step Solution

1. Step 1: Write the proportion equation
   91,065 : 142,557 = 142,557 : x
2. Step 2: Convert to fraction form
   91,065/142,557 = 142,557/x
3. Step 3: Cross multiply
   91,065x = 142,557 × 142,557
4. Step 4: Simplify right side
   91,065x = 20,322,498,249
5. Step 5: Solve for x
   x = 20,322,498,249/91,065
6. Step 6: Final answer
   x = 223,164.75