Finding the Third Proportional to 83,166.75 and 175,233.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,166.75 : 175,233.38 = 175,233.38 : x
2. Step 2: Convert to fraction form
   83,166.75/175,233.38 = 175,233.38/x
3. Step 3: Cross multiply
   83,166.75x = 175,233.38 × 175,233.38
4. Step 4: Simplify right side
   83,166.75x = 30,706,735,713.89
5. Step 5: Solve for x
   x = 30,706,735,713.89/83,166.75
6. Step 6: Final answer
   x = 369,218.90