Finding the Third Proportional to 82,172 and 117,424

Step by Step Solution

1. Step 1: Write the proportion equation
   82,172 : 117,424 = 117,424 : x
2. Step 2: Convert to fraction form
   82,172/117,424 = 117,424/x
3. Step 3: Cross multiply
   82,172x = 117,424 × 117,424
4. Step 4: Simplify right side
   82,172x = 13,788,395,776
5. Step 5: Solve for x
   x = 13,788,395,776/82,172
6. Step 6: Final answer
   x = 167,799.20