Finding the Third Proportional to 116,884 and 165,390

Step by Step Solution

1. Step 1: Write the proportion equation
   116,884 : 165,390 = 165,390 : x
2. Step 2: Convert to fraction form
   116,884/165,390 = 165,390/x
3. Step 3: Cross multiply
   116,884x = 165,390 × 165,390
4. Step 4: Simplify right side
   116,884x = 27,353,852,100
5. Step 5: Solve for x
   x = 27,353,852,100/116,884
6. Step 6: Final answer
   x = 234,025.63