Finding the Third Proportional to 83,636 and 131,178

Step by Step Solution

1. Step 1: Write the proportion equation
   83,636 : 131,178 = 131,178 : x
2. Step 2: Convert to fraction form
   83,636/131,178 = 131,178/x
3. Step 3: Cross multiply
   83,636x = 131,178 × 131,178
4. Step 4: Simplify right side
   83,636x = 17,207,667,684
5. Step 5: Solve for x
   x = 17,207,667,684/83,636
6. Step 6: Final answer
   x = 205,744.75