Finding the Third Proportional to 82,116 and 117,418.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,116 : 117,418.50 = 117,418.50 : x
2. Step 2: Convert to fraction form
   82,116/117,418.50 = 117,418.50/x
3. Step 3: Cross multiply
   82,116x = 117,418.50 × 117,418.50
4. Step 4: Simplify right side
   82,116x = 13,787,104,142.25
5. Step 5: Solve for x
   x = 13,787,104,142.25/82,116
6. Step 6: Final answer
   x = 167,897.90