Finding the Third Proportional to 82,140 and 117,462

Step by Step Solution

1. Step 1: Write the proportion equation
   82,140 : 117,462 = 117,462 : x
2. Step 2: Convert to fraction form
   82,140/117,462 = 117,462/x
3. Step 3: Cross multiply
   82,140x = 117,462 × 117,462
4. Step 4: Simplify right side
   82,140x = 13,797,321,444
5. Step 5: Solve for x
   x = 13,797,321,444/82,140
6. Step 6: Final answer
   x = 167,973.23