Finding the Third Proportional to 82,032 and 117,304.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,032 : 117,304.50 = 117,304.50 : x
2. Step 2: Convert to fraction form
   82,032/117,304.50 = 117,304.50/x
3. Step 3: Cross multiply
   82,032x = 117,304.50 × 117,304.50
4. Step 4: Simplify right side
   82,032x = 13,760,345,720.25
5. Step 5: Solve for x
   x = 13,760,345,720.25/82,032
6. Step 6: Final answer
   x = 167,743.63