Finding the Third Proportional to 82,057 and 117,334

Step by Step Solution

1. Step 1: Write the proportion equation
   82,057 : 117,334 = 117,334 : x
2. Step 2: Convert to fraction form
   82,057/117,334 = 117,334/x
3. Step 3: Cross multiply
   82,057x = 117,334 × 117,334
4. Step 4: Simplify right side
   82,057x = 13,767,267,556
5. Step 5: Solve for x
   x = 13,767,267,556/82,057
6. Step 6: Final answer
   x = 167,776.88