Finding the Third Proportional to 82,144 and 117,468

Step by Step Solution

1. Step 1: Write the proportion equation
   82,144 : 117,468 = 117,468 : x
2. Step 2: Convert to fraction form
   82,144/117,468 = 117,468/x
3. Step 3: Cross multiply
   82,144x = 117,468 × 117,468
4. Step 4: Simplify right side
   82,144x = 13,798,731,024
5. Step 5: Solve for x
   x = 13,798,731,024/82,144
6. Step 6: Final answer
   x = 167,982.21