Finding the Third Proportional to 82,188 and 117,450

Step by Step Solution

1. Step 1: Write the proportion equation
   82,188 : 117,450 = 117,450 : x
2. Step 2: Convert to fraction form
   82,188/117,450 = 117,450/x
3. Step 3: Cross multiply
   82,188x = 117,450 × 117,450
4. Step 4: Simplify right side
   82,188x = 13,794,502,500
5. Step 5: Solve for x
   x = 13,794,502,500/82,188
6. Step 6: Final answer
   x = 167,840.83