Finding the Third Proportional to 82,858 and 117,132

Step by Step Solution

1. Step 1: Write the proportion equation
   82,858 : 117,132 = 117,132 : x
2. Step 2: Convert to fraction form
   82,858/117,132 = 117,132/x
3. Step 3: Cross multiply
   82,858x = 117,132 × 117,132
4. Step 4: Simplify right side
   82,858x = 13,719,905,424
5. Step 5: Solve for x
   x = 13,719,905,424/82,858
6. Step 6: Final answer
   x = 165,583.35