Finding the Third Proportional to 71,066 and 109,514

Step by Step Solution

1. Step 1: Write the proportion equation
   71,066 : 109,514 = 109,514 : x
2. Step 2: Convert to fraction form
   71,066/109,514 = 109,514/x
3. Step 3: Cross multiply
   71,066x = 109,514 × 109,514
4. Step 4: Simplify right side
   71,066x = 11,993,316,196
5. Step 5: Solve for x
   x = 11,993,316,196/71,066
6. Step 6: Final answer
   x = 168,763.07