Finding the Third Proportional to 82,152 and 117,396

Step by Step Solution

1. Step 1: Write the proportion equation
   82,152 : 117,396 = 117,396 : x
2. Step 2: Convert to fraction form
   82,152/117,396 = 117,396/x
3. Step 3: Cross multiply
   82,152x = 117,396 × 117,396
4. Step 4: Simplify right side
   82,152x = 13,781,820,816
5. Step 5: Solve for x
   x = 13,781,820,816/82,152
6. Step 6: Final answer
   x = 167,760.02