Finding the Third Proportional to 82,812 and 117,066

Step by Step Solution

1. Step 1: Write the proportion equation
   82,812 : 117,066 = 117,066 : x
2. Step 2: Convert to fraction form
   82,812/117,066 = 117,066/x
3. Step 3: Cross multiply
   82,812x = 117,066 × 117,066
4. Step 4: Simplify right side
   82,812x = 13,704,448,356
5. Step 5: Solve for x
   x = 13,704,448,356/82,812
6. Step 6: Final answer
   x = 165,488.68