Finding the Third Proportional to 83,665.50 and 122,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,665.50 : 122,707.50 = 122,707.50 : x
2. Step 2: Convert to fraction form
   83,665.50/122,707.50 = 122,707.50/x
3. Step 3: Cross multiply
   83,665.50x = 122,707.50 × 122,707.50
4. Step 4: Simplify right side
   83,665.50x = 15,057,130,556.25
5. Step 5: Solve for x
   x = 15,057,130,556.25/83,665.50
6. Step 6: Final answer
   x = 179,968.21