Finding the Third Proportional to 141,132 and 206,514

Step by Step Solution

1. Step 1: Write the proportion equation
   141,132 : 206,514 = 206,514 : x
2. Step 2: Convert to fraction form
   141,132/206,514 = 206,514/x
3. Step 3: Cross multiply
   141,132x = 206,514 × 206,514
4. Step 4: Simplify right side
   141,132x = 42,648,032,196
5. Step 5: Solve for x
   x = 42,648,032,196/141,132
6. Step 6: Final answer
   x = 302,185.42