Finding the Third Proportional to 82,144 and 117,464

Step by Step Solution

1. Step 1: Write the proportion equation
   82,144 : 117,464 = 117,464 : x
2. Step 2: Convert to fraction form
   82,144/117,464 = 117,464/x
3. Step 3: Cross multiply
   82,144x = 117,464 × 117,464
4. Step 4: Simplify right side
   82,144x = 13,797,791,296
5. Step 5: Solve for x
   x = 13,797,791,296/82,144
6. Step 6: Final answer
   x = 167,970.77