Finding the Third Proportional to 83,224.13 and 117,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,224.13 : 117,760.50 = 117,760.50 : x
2. Step 2: Convert to fraction form
   83,224.13/117,760.50 = 117,760.50/x
3. Step 3: Cross multiply
   83,224.13x = 117,760.50 × 117,760.50
4. Step 4: Simplify right side
   83,224.13x = 13,867,535,360.25
5. Step 5: Solve for x
   x = 13,867,535,360.25/83,224.13
6. Step 6: Final answer
   x = 166,628.79