Finding the Third Proportional to 82,854 and 117,126

Step by Step Solution

1. Step 1: Write the proportion equation
   82,854 : 117,126 = 117,126 : x
2. Step 2: Convert to fraction form
   82,854/117,126 = 117,126/x
3. Step 3: Cross multiply
   82,854x = 117,126 × 117,126
4. Step 4: Simplify right side
   82,854x = 13,718,499,876
5. Step 5: Solve for x
   x = 13,718,499,876/82,854
6. Step 6: Final answer
   x = 165,574.38