Finding the Third Proportional to 81,583 and 126,066

Step by Step Solution

1. Step 1: Write the proportion equation
   81,583 : 126,066 = 126,066 : x
2. Step 2: Convert to fraction form
   81,583/126,066 = 126,066/x
3. Step 3: Cross multiply
   81,583x = 126,066 × 126,066
4. Step 4: Simplify right side
   81,583x = 15,892,636,356
5. Step 5: Solve for x
   x = 15,892,636,356/81,583
6. Step 6: Final answer
   x = 194,803.28