Finding the Third Proportional to 132,172 and 188,417

Step by Step Solution

1. Step 1: Write the proportion equation
   132,172 : 188,417 = 188,417 : x
2. Step 2: Convert to fraction form
   132,172/188,417 = 188,417/x
3. Step 3: Cross multiply
   132,172x = 188,417 × 188,417
4. Step 4: Simplify right side
   132,172x = 35,500,965,889
5. Step 5: Solve for x
   x = 35,500,965,889/132,172
6. Step 6: Final answer
   x = 268,596.72