Finding the Third Proportional to 132,181 and 188,429

Step by Step Solution

1. Step 1: Write the proportion equation
   132,181 : 188,429 = 188,429 : x
2. Step 2: Convert to fraction form
   132,181/188,429 = 188,429/x
3. Step 3: Cross multiply
   132,181x = 188,429 × 188,429
4. Step 4: Simplify right side
   132,181x = 35,505,488,041
5. Step 5: Solve for x
   x = 35,505,488,041/132,181
6. Step 6: Final answer
   x = 268,612.65