Finding the Third Proportional to 83,764.13 and 117,171.56

Step by Step Solution

1. Step 1: Write the proportion equation
   83,764.13 : 117,171.56 = 117,171.56 : x
2. Step 2: Convert to fraction form
   83,764.13/117,171.56 = 117,171.56/x
3. Step 3: Cross multiply
   83,764.13x = 117,171.56 × 117,171.56
4. Step 4: Simplify right side
   83,764.13x = 13,729,175,058.69
5. Step 5: Solve for x
   x = 13,729,175,058.69/83,764.13
6. Step 6: Final answer
   x = 163,902.81