Finding the Third Proportional to 39,176.16 and 83,409.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,176.16 : 83,409.75 = 83,409.75 : x
2. Step 2: Convert to fraction form
   39,176.16/83,409.75 = 83,409.75/x
3. Step 3: Cross multiply
   39,176.16x = 83,409.75 × 83,409.75
4. Step 4: Simplify right side
   39,176.16x = 6,957,186,395.06
5. Step 5: Solve for x
   x = 6,957,186,395.06/39,176.16
6. Step 6: Final answer
   x = 177,587.26